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Saigo, Megumi

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Author ID: saigo.megumi Recent zbMATH articles by "Saigo, Megumi"
Published as: Saigo, Megumi; Saigo, M.; Saĭgo, M.
External Links: Math-Net.Ru · dblp
Documents Indexed: 168 Publications since 1969, including 1 Book
Reviewing Activity: 41 Reviews
Biographic References: 3 Publications
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Serials

27 Fukuoka University Science Reports
19 Journal of Fractional Calculus
13 Integral Transforms and Special Functions
7 Mathematica Japonica
6 Journal of Mathematical Analysis and Applications
6 RIMS Kokyuroku
4 Mathematische Nachrichten
4 Doklady Akademii Nauk Belarusi
4 Fractional Calculus & Applied Analysis
3 Applicable Analysis
3 International Journal of Mathematics and Mathematical Sciences
3 Kyungpook Mathematical Journal
3 Bulletin of Central Research Institute. Fukuoka University. Natural Sciences
3 Journal of Integral Equations and Applications
2 Journal of Sound and Vibration
2 Mathematical Reports of College of General Education
2 Proceedings of the Japan Academy. Series A
2 Rendiconti del Circolo Matemàtico di Palermo. Serie II
2 Doklady Bolgarskoĭ Akademii Nauk
2 International Journal of Mathematical and Statistical Sciences
2 Doklady Natsional’noĭ Akademii Nauk Belarusi
2 Proceedings of the Japan Academy
1 Computers & Mathematics with Applications
1 Demonstratio Mathematica
1 Differentsial’nye Uravneniya
1 Differential Equations
1 Funkcialaj Ekvacioj. Serio Internacia
1 Journal of Computational and Applied Mathematics
1 Journal of the Korean Mathematical Society
1 Kumamoto Journal of Science. (Mathematics)
1 Proceedings of the American Mathematical Society
1 Tamkang Journal of Mathematics
1 Revista Técnica de la Facultad de Ingenieria
1 Journal of Applied Mathematics and Stochastic Analysis
1 Gaṇita Sandesh
1 Differential and Integral Equations
1 Panamerican Mathematical Journal
1 Journal of the Australian Mathematical Society. Series A
1 Doklady Mathematics
1 Journal of Vibration and Control
1 Analysis (München)
1 The ANZIAM Journal
1 Differential Equations
1 Analytical Methods and Special Functions

Publications by Year

Citations contained in zbMATH Open

106 Publications have been cited 982 times in 668 Documents Cited by Year
Generalized Mittag-Leffler function and generalized fractional calculus operators. Zbl 1047.33011
Kilbas, Anatoly A.; Saigo, Megumi; Saxena, R. K.
130
2004
Some inclusion properties of a certain family of integral operators. Zbl 1035.30004
Choi, Jae Ho; Saigo, Megumi; Srivastava, H. M.
97
2002
H-transforms. Theory and applications. Zbl 1056.44001
Kilbas, Anatoly A.; Saigo, Megumi
91
2004
A remark on integral operators involving the Gauss hypergeometric functions. Zbl 0399.45022
Saigo, Megumi
60
1978
A class of distortion theorems involving certain operators of fractional calculus. Zbl 0628.30014
Srivastava, H. M.; Saigo, Megumi; Owa, Shigeyoshi
44
1988
On the generalized Wright function. Zbl 1027.33015
Kilbas, Anatoly A.; Saigo, Megumi; Trujillo, Juan J.
40
2002
More generalization of fractional calculus. Zbl 0926.26003
Saigo, Megumi; Maeda, Nobuyuki
35
1998
On Mittag-Leffler type function, fractional calculus operators and solutions of integral equations. Zbl 0876.26007
Kilbas, Anatoly A.; Saigo, Megumi
34
1996
A certain boundary value problem for the Euler-Darboux equation. Zbl 0428.35064
Saigo, Megumi
30
1979
Multiplication of fractional calculus operators and boundary value problems involving the Euler-Darboux equation. Zbl 0875.35015
Srivastava, H. M.; Saigo, Megumi
27
1987
Solution of Volterra integrodifferential equations with generalized Mittag-Leffler function in the Kernels. Zbl 1041.45011
Kilbas, Anatoly A.; Saigo, Megumi; Saxena, R. K.
26
2002
On solution of integral equation of Abel-Volterra type. Zbl 0823.45002
Kilbas, Anatoly A.; Saigo, Megumi
24
1995
On Mittag-Leffler type function and applications. Zbl 0933.26001
Saigo, Megumi; Kilbas, Anatoly A.
19
1998
On solution of nonlinear Abel-Volterra integral equation. Zbl 0917.45004
Kilbas, Anatoly A.; Saigo, Megumi
16
1999
The behavior of the zero-balanced hypergeometric series \({}_ pF_{p- 1}\) near the boundary of its convergence region. Zbl 0689.33003
Saigo, Megumi; Srivastava, H. M.
15
1990
Generalized fractional calculus of the \(H\)-function associated with the Appell function \(F_3\). Zbl 0984.33006
Saxena, R. K.; Saigo, Megumi
15
2001
A certain boundary value problem for the Euler-Darboux equation. II. Zbl 0457.35071
Saigo, Megumi
14
1980
Certain properties of fractional calculus operators associated with generalized Mittag-Leffler function. Zbl 1144.26010
Saxena, R. K.; Saigo, Megumi
13
2005
On generalized fractional calculus operators. Zbl 0917.26007
Saigo, M.
12
1996
Convolution of Hankel transform and its application to an integral involving Bessel functions of first kind. Zbl 0828.33001
Vu Kim Tuan; Saigo, Megumi
12
1995
Upper and lower bounds for solutions of nonlinear Volterra convolution integral equations with power nonlinearity. Zbl 0982.45003
Karapetyants, Nikolai K.; Kilbas, Anatoly A.; Saigo, Megumi; Samko, Stefan G.
12
2000
Geometric properties of convolution operators defined by Gaussian hypergeometric functions. Zbl 1019.30011
Choi, Jae Ho; Kim, Yong Chan; Saigo, Megumi
10
2002
Some characterization theorems for starlike and convex functions involving a certain fractional integral operator. Zbl 0668.30013
Owa, Shigeyoshi; Saigo, Megumi; Srivastava, H. M.
9
1989
Integral transforms with Fox’s \(\mathbb{H}\)-function in spaces of summable functions. Zbl 0824.44004
Kilbas, Anatoly A.; Saigo, Megumi; Shlapakov, Sergei A.
9
1993
Generalized fractional integrals and derivatives in Hölder spaces. Zbl 0917.26006
Saigo, M.; Kilbas, A. A.
8
1995
On the Mehler-Fock transform in \(L_ p\)-space. Zbl 0873.44002
Yakubovich, Semën B.; Saigo, Megumi
7
1997
Some criteria for univalence of analytic functions involving generalized fractional calculus operators. Zbl 0951.30012
Kiryakova, V.; Saigo, M.; Srivastava, H. M.
7
1998
Fractional calculus operators involving the Gauss function on spaces \(F_{p, \mu{}}\) and \(F'_{p, \mu{}}\). Zbl 0737.46030
Saigo, Megumi; Glaeske, Hans-Jürgen
6
1990
On the solution of nonlinear Volterra convolution equation with power nonlinearity. Zbl 0874.45002
Karapetyants, Nikolai K.; Kilbas, Anatoly A.; Saigo, Megumi
6
1996
A certain boundary value problem for the Euler-Darboux equation. III. Zbl 0457.35072
Saigo, Megumi
6
1981
On inversion of \(H\)-transform in \({\mathfrak L}_{v,r}\)-space. Zbl 0912.33005
Shlapakov, Sergei A.; Saigo, Megumi; Kilbas, Anatoly A.
6
1998
Generalized fractional calculus of the \(H\)-function. Zbl 0942.33008
Saigo, Megumi; Kilbas, Anatoly A.
6
1999
A note on fractional calculus operators involving Fox’s \(H\)-function on space F\(_{p,\mu}\). Zbl 0789.33006
Raina, R. K.; Saigo, Megumi
6
1993
The Krätzel function and evaluation of integrals. Zbl 1189.33037
Kilbas, Anatoly A.; Rodríguez-Germá, Luis; Saigo, Megumi; Saxena, R. K.; Trujillo, J. J.
5
2010
On generalized fractional calculus operators and their compositions with axisymmetric differential operator of the potential theory on spaces \(\mathbb{F}_{p,\mu}\) and \(\mathbb{F}_{p,\mu}'\). Zbl 0932.26003
Saigo, Megumi; Raina, R. K.; Kilbas, A. A.
4
1993
Some new results for radiation-field problems. Zbl 0718.33009
Saigo, Megumi; Srivastava, Rekha
4
1990
Plancherel and Paley-Wiener theorems for an index integral transform. Zbl 0962.44005
Tuan, Vu Kim; Ismail, Ali; Saigo, Megumi
4
2000
On the \(H\)-function. Zbl 0934.33018
Kilbas, Anatoly A.; Saigo, Megumi
4
1999
A modified Bessel-type integral transform and its compositions with fractional calculus operators on spaces \(F_{p,\mu}\) and \(F_{p,\mu}^{\prime}\). Zbl 0958.44004
Glaeske, H.-J.; Kilbas, Anatoly A.; Saigo, Megumi
4
2000
A generalization of fractional calculus. Zbl 0616.26007
Saigo, M.
3
1985
Parametric instability of clamped-clamped and clamped-simply supported columns under periodic axial load. Zbl 0265.73044
Iwatsubo, T.; Saigo, M.; Sugiyama, Y.
3
1973
Criteria for generalized fractional integrals to preserve univalency of analytic functions. Zbl 1088.30006
Kiryakova, V.; Saigo, M.
3
2005
Fractional calculus operators associated with a general class of polynomials. Zbl 0733.33003
Saigo, Megumi; Raina, R. K.
3
1988
Some existence and connection theorems associated with the Laplace transform and a certain class of integral operators. Zbl 0778.44002
Srivastava, H. M.; Saigo, Megumi; Raina, R. K.
3
1993
Certain properties of operators of fractional integration associated with Mellin and Laplace transformations. Zbl 0984.44500
Saigo, Megumi; Saxena, R. K.; Ram, Jeta
3
1992
Closed-form solution of a class of linear differential equations of fractional order. Zbl 0910.34001
Kilbas, A. A.; Saigo, Megumi
3
1997
Integral transforms with Fox’s \(H\)-function in \({\mathfrak L}_{\nu,r}\)-spaces. II. Zbl 0918.44003
Kilbas, Anatoly A.; Saigo, Megumi; Shlapakov, Sergei A.
3
1994
On asymptotic solutions of nonlinear Abel-Volterra integral equations with quasipolynomial free term. Zbl 0858.45007
Kilbas, Anatoly A.; Saigo, Megumi; Gorenflo, Rudolf
3
1995
Multidimensional modified fractional calculus operators. Zbl 0794.26012
Vu Kim Tuan; Saigo, Megumi
3
1993
The solution of a class of linear differential equations via functions of Mittag-Leffler type. Zbl 0982.34002
Saigo, M.; Kilbas, A. A.
3
2000
Transverse vibration of a rotor system driven by a Cardan joint. Zbl 0549.73048
Iwatsubo, T.; Saigo, M.
2
1984
Products of Laplace transform and fractional integrals on a space of generalized functions. Zbl 0787.46030
Glaeske, Hans-Jürgen; Saigo, Megumi
2
1992
On the fractional calculus operator associated with the \(H\)-function. Zbl 0761.33006
Saigo, Megumi; Saxena, R. K.; Ram, Jeta
2
1992
On uniqueness and estimations for solutions of modified Frankl’ problem for linear and nonlinear equations of mixed type. Zbl 0238.35058
Saigo, Megumi
2
1972
Integral transforms with \(H\)-function kernels on \({\mathfrak L}_{\nu,r}\)-spaces. Zbl 1020.44003
Glaeske, Hans-Jürgen; Kilbas, Anatoly A.; Saigo, Megumi; Shlapakov, Sergei A.
2
2001
Unified fractional integral formulas for the multivariable \(H\)-function. III. Zbl 1008.33007
Saigo, Megumi; Saxena, R. K.
2
2001
On asymptotic solutions of nonlinear and linear Abel-Volterra integral equations. Zbl 0853.45004
Kilbas, Anatoly A.; Saigo, Megumi
2
1994
On asymptotic solutions of nonlinear and linear Abel-Volterra integral equations. II. Zbl 0853.45005
Saigo, Megumi; Kilbas, Anatoly A.
2
1994
Solvability of some Abel-type integral equations involving the Gauss hypergeometric function as kernels in the spaces of summable functions. Zbl 0989.45003
Raina, R. K.; Srivastava, H. M.; Kilbas, A. A.; Saigo, M.
2
2001
\(L_{\nu,r}\)-theory of integral transformations with the \(H\)-function in the kernel. Zbl 1161.44304
Glaeske, H.-J.; Kilbas, A. A.; Saigo, M.; Shlapakov, S. A.
2
1997
Application of generalized fractional calculus operators in the solution of an integral equation. Zbl 0918.33011
Saigo, Megumi; Saxena, R. K.
2
1998
On the class of Lebedev-Skalskaya type index transforms. Zbl 0917.44003
Yakubovich, S. B.; Saigo, Megumi; Lemeshevskaya, N. P.
2
1994
Integral transforms with Fox’s \(H\)-function in \({\mathfrak L}_{\nu,r}\)-spaces. Zbl 0915.44005
Kilbas, Anatoly A.; Saigo, Megumi; Shlapakov, Sergei A.
2
1993
On the theory of convolution integrals for \(G\)-transforms. Zbl 0917.44004
Saigo, Megumi; Yakubovich, S. B.
2
1991
Application of generalized fractional calculus operators in the solution of certain dual integral equations. Zbl 0822.45001
Saigo, Megumi; Saxena, R. K.; Ram, Jeta
2
1993
On the Meijer transform in \({\mathcal L}_{\nu, \tau}\)-space. Zbl 0974.44003
Kilbas, A. A.; Saigo, M.; Trujillo, J. J.
2
2000
Modified fractional integral operators in \(L_p\) space with power-logarithmic weight. Zbl 1029.26001
Tuan, Vu Kim; Saigo, Megumi
1
1999
Expansions of \(_4F_3\) when the upper parameters differ by integers. Zbl 0926.33004
Saigo, Megumi; Saxena, R. K.
1
1998
Starlike and convex functions of complex order involving a certain fractional integral operator. Zbl 0923.30008
Choi, Jae Ho; Saigo, Megumi
1
1998
Fractional calculus of the \(H\)-function. Zbl 0923.33006
Kilbas, Anatoly A.; Saigo, Megumi
1
1998
Some asymptotic formulas exhibiting the behaviors of the triple hypergeometric series \(F_ S\) and \(F_ T\) near the boundaries of their convergence regions. Zbl 0736.33010
Saigo, M.; Srivastava, H. M.
1
1991
On properties of the Lauricella hypergeometric function \(F_ D\). Zbl 0644.33004
Saigo, Megumi
1
1988
Solution in closed form of boundary value problem for degenerate equation of hyperbolic type. Zbl 0873.35053
Kilbas, Anatoly A.; Repin, Oleg A.; Saigo, Megumi
1
1996
Multidimensional fractional calculus operators involving the Gauss hypergeometric function. Zbl 0882.26004
Vu Kim Tuan; Raina, R. K.; Saigo, Megumi
1
1996
On a certain fractional operator. Zbl 0760.30005
Owa, Shigeyoshi; Saigo, Megumi; Furuto, David M.
1
1991
Fractional calculus on space \(F_{p,\mu{}}\). Zbl 0745.46045
Saigo, Megumi; Glaeske, Hans-Jürgen
1
1990
On the solutions of the modified Frankl’ problem. Zbl 0238.35059
Saigo, Megumi
1
1972
On properties of hypergeometric functions of three variables, \(F_ M\) and \(F_ G\). Zbl 0682.33001
Saigo, Megumi
1
1988
On the generalized Hardy-Titchmarsh transform in \({\mathfrak L}_{\nu,r}\)-space. Zbl 0958.44006
Kilbas, Anatoly A.; Saigo, Megumi; Borovco, Anna
1
2000
Unified fractional integral formulas for the multivariable \(H\)-function. Zbl 0955.33008
Saigo, Megumi; Saxena, R. K.
1
1999
Unified fractional integral formulas for the multivariable \(H\)-function. II. Zbl 1125.33305
Saigo, Megumi; Saxena, R. K.
1
1999
Low power consumption nonlinear control with \(H_\infty\) compensator for a zero-bias flywheel AMB system. Zbl 1074.70582
Sivrioglu, S.; Nonami, K.; Saigo, M.
1
2004
Generalized fractional integral transforms with Gauss function kernels as \(G\)-transforms. Zbl 1028.44004
Kilbas, Anatoly A.; Repin, Oleg A.; Saigo, Megumi
1
2002
On a property of the Appell hypergeometric function \(F_1\). Zbl 0452.33002
Saigo, Megumi
1
1980
On properties of the Appell hypergeometric functions \(F_ 2\) and \(F_ 3\) and the generalized Gauss function \(_ 2F_ 3\). Zbl 0525.33001
Saigo, Megumi
1
1983
On the Mehler-Fock index transform in \(L_ p\)-space. Zbl 0861.44002
Yakubovich, Semen; Saigo, Megumi
1
1994
On generalized fractional integration operators with Fox’s \(H\)-function on spaces \(F_{p,\mu}\) and \(F_{p,\mu}^ \prime\). Zbl 0861.33011
Kilbas, Anatoly A.; Saigo, Megumi
1
1996
Obituary. Anatolii Platonovich Prudnikov (1927-1999). Zbl 0938.01039
Glaeske, H.-J.; Il’in, V. A.; Kilbas, A. A.; Moiseev, E. I.; Saigo, M.; Samko, S. G.
1
1999
Solution of multidimensional hypergeometric integral equations of Abel type. Zbl 1039.45502
Kilbas, A. A.; Raina, R. K.; Saigo, M.; Srivastava, G. M.
1
1999
The generalized Hardy-Titchmarsh transform in the space of summable functions. Zbl 1045.44002
Kilbas, A. A.; Saigo, M.; Borovko, A. N.
1
2000
Distortion and characterization theorems for generalized fractional integration operators involving \(H\)-function in subclasses of univalent functions. Zbl 1057.30012
Kiryakova, Virginia S.; Saigo, Megumi; Owa, Shigeyoshi
1
2004
A theorem relating a generalized Weyl fractional integral, Laplace and Varma transforms with applications. Zbl 0907.44001
Saigo, Megumi; Goyal, S. P.; Saxena, Sunil
1
1998
On an integrable solution of multidimensional Abel-type integral equation. Zbl 0916.45005
Kilbas, Anatoly A.; Saigo, Megumi; Takushima, Hidekazu
1
1995
Some asymptotic expansions of special functions by their indices. Zbl 0935.33002
Yakubovich, S. B.; Saigo, Megumi; Gusarevich, L. D.
1
1995
On Leibniz rules involving generalized fractional calculus operators. Zbl 0921.26004
Sakaeda, Naoto; Yakubovich, S. B.; Saigo, Megumi
1
1996
On solution in closed form of nonlinear integral and differential equations of fractional order. Zbl 0924.45010
Kilbas, Anatoly A.; Saigo, Megumi
1
1996
Fractional integral and Dirichlet averages. Zbl 0866.26004
Deora, Yogendra; Banerji, P. K.; Saigo, Megumi
1
1994
On Dirichlet average and fractional integral of a general class of polynomials. Zbl 0866.26005
Vyas, D. N.; Banerji, P. K.; Saigo, Megumi
1
1994
A general fractional integral formula. Zbl 0842.33006
Agrawal, Rajni; Pareek, R. S.; Saigo, Megumi
1
1995
On the two-dimensional generalized Weyl fractional calculus associated with two dimensional H-transforms. Zbl 0855.44004
Saigo, Megumi; Saxena, R. K.; Ram, Jeta
1
1995
Series representations and asymptotic expansions of extended generalized hypergeometric function. Zbl 1298.33022
Kilbas, Anatoly A.; Saxena, R. K.; Saigo, Megumi; Trujillo, Juan J.
1
2012
The Krätzel function and evaluation of integrals. Zbl 1189.33037
Kilbas, Anatoly A.; Rodríguez-Germá, Luis; Saigo, Megumi; Saxena, R. K.; Trujillo, J. J.
5
2010
Certain properties of fractional calculus operators associated with generalized Mittag-Leffler function. Zbl 1144.26010
Saxena, R. K.; Saigo, Megumi
13
2005
Criteria for generalized fractional integrals to preserve univalency of analytic functions. Zbl 1088.30006
Kiryakova, V.; Saigo, M.
3
2005
Generalized Mittag-Leffler function and generalized fractional calculus operators. Zbl 1047.33011
Kilbas, Anatoly A.; Saigo, Megumi; Saxena, R. K.
130
2004
H-transforms. Theory and applications. Zbl 1056.44001
Kilbas, Anatoly A.; Saigo, Megumi
91
2004
Low power consumption nonlinear control with \(H_\infty\) compensator for a zero-bias flywheel AMB system. Zbl 1074.70582
Sivrioglu, S.; Nonami, K.; Saigo, M.
1
2004
Distortion and characterization theorems for generalized fractional integration operators involving \(H\)-function in subclasses of univalent functions. Zbl 1057.30012
Kiryakova, Virginia S.; Saigo, Megumi; Owa, Shigeyoshi
1
2004
Some inclusion properties of a certain family of integral operators. Zbl 1035.30004
Choi, Jae Ho; Saigo, Megumi; Srivastava, H. M.
97
2002
On the generalized Wright function. Zbl 1027.33015
Kilbas, Anatoly A.; Saigo, Megumi; Trujillo, Juan J.
40
2002
Solution of Volterra integrodifferential equations with generalized Mittag-Leffler function in the Kernels. Zbl 1041.45011
Kilbas, Anatoly A.; Saigo, Megumi; Saxena, R. K.
26
2002
Geometric properties of convolution operators defined by Gaussian hypergeometric functions. Zbl 1019.30011
Choi, Jae Ho; Kim, Yong Chan; Saigo, Megumi
10
2002
Generalized fractional integral transforms with Gauss function kernels as \(G\)-transforms. Zbl 1028.44004
Kilbas, Anatoly A.; Repin, Oleg A.; Saigo, Megumi
1
2002
Nonlocal problem for a hyperbolic equation with fractional derivatives in the boundary condition. Zbl 1015.35059
Kilbas, A. A.; Repin, O. A.; Saigo, Megumi
1
2002
Generalized fractional calculus of the \(H\)-function associated with the Appell function \(F_3\). Zbl 0984.33006
Saxena, R. K.; Saigo, Megumi
15
2001
Integral transforms with \(H\)-function kernels on \({\mathfrak L}_{\nu,r}\)-spaces. Zbl 1020.44003
Glaeske, Hans-Jürgen; Kilbas, Anatoly A.; Saigo, Megumi; Shlapakov, Sergei A.
2
2001
Unified fractional integral formulas for the multivariable \(H\)-function. III. Zbl 1008.33007
Saigo, Megumi; Saxena, R. K.
2
2001
Solvability of some Abel-type integral equations involving the Gauss hypergeometric function as kernels in the spaces of summable functions. Zbl 0989.45003
Raina, R. K.; Srivastava, H. M.; Kilbas, A. A.; Saigo, M.
2
2001
On an index integral transform involving the modified Bessel function. Zbl 1022.44004
Tuan, Vu Kim; Ismail, Ali; Saigo, Megumi
1
2001
Upper and lower bounds for solutions of nonlinear Volterra convolution integral equations with power nonlinearity. Zbl 0982.45003
Karapetyants, Nikolai K.; Kilbas, Anatoly A.; Saigo, Megumi; Samko, Stefan G.
12
2000
Plancherel and Paley-Wiener theorems for an index integral transform. Zbl 0962.44005
Tuan, Vu Kim; Ismail, Ali; Saigo, Megumi
4
2000
A modified Bessel-type integral transform and its compositions with fractional calculus operators on spaces \(F_{p,\mu}\) and \(F_{p,\mu}^{\prime}\). Zbl 0958.44004
Glaeske, H.-J.; Kilbas, Anatoly A.; Saigo, Megumi
4
2000
The solution of a class of linear differential equations via functions of Mittag-Leffler type. Zbl 0982.34002
Saigo, M.; Kilbas, A. A.
3
2000
On the Meijer transform in \({\mathcal L}_{\nu, \tau}\)-space. Zbl 0974.44003
Kilbas, A. A.; Saigo, M.; Trujillo, J. J.
2
2000
On the generalized Hardy-Titchmarsh transform in \({\mathfrak L}_{\nu,r}\)-space. Zbl 0958.44006
Kilbas, Anatoly A.; Saigo, Megumi; Borovco, Anna
1
2000
The generalized Hardy-Titchmarsh transform in the space of summable functions. Zbl 1045.44002
Kilbas, A. A.; Saigo, M.; Borovko, A. N.
1
2000
On solution of nonlinear Abel-Volterra integral equation. Zbl 0917.45004
Kilbas, Anatoly A.; Saigo, Megumi
16
1999
Generalized fractional calculus of the \(H\)-function. Zbl 0942.33008
Saigo, Megumi; Kilbas, Anatoly A.
6
1999
On the \(H\)-function. Zbl 0934.33018
Kilbas, Anatoly A.; Saigo, Megumi
4
1999
Modified fractional integral operators in \(L_p\) space with power-logarithmic weight. Zbl 1029.26001
Tuan, Vu Kim; Saigo, Megumi
1
1999
Unified fractional integral formulas for the multivariable \(H\)-function. Zbl 0955.33008
Saigo, Megumi; Saxena, R. K.
1
1999
Unified fractional integral formulas for the multivariable \(H\)-function. II. Zbl 1125.33305
Saigo, Megumi; Saxena, R. K.
1
1999
Obituary. Anatolii Platonovich Prudnikov (1927-1999). Zbl 0938.01039
Glaeske, H.-J.; Il’in, V. A.; Kilbas, A. A.; Moiseev, E. I.; Saigo, M.; Samko, S. G.
1
1999
Solution of multidimensional hypergeometric integral equations of Abel type. Zbl 1039.45502
Kilbas, A. A.; Raina, R. K.; Saigo, M.; Srivastava, G. M.
1
1999
On the Lommel-Maitland transform in \(\mathfrak L_{\nu,r}\)-space. Zbl 1032.44007
Kilbas, Anatoly A.; Saigo, Megumi; Borovco, Anna
1
1999
More generalization of fractional calculus. Zbl 0926.26003
Saigo, Megumi; Maeda, Nobuyuki
35
1998
On Mittag-Leffler type function and applications. Zbl 0933.26001
Saigo, Megumi; Kilbas, Anatoly A.
19
1998
Some criteria for univalence of analytic functions involving generalized fractional calculus operators. Zbl 0951.30012
Kiryakova, V.; Saigo, M.; Srivastava, H. M.
7
1998
On inversion of \(H\)-transform in \({\mathfrak L}_{v,r}\)-space. Zbl 0912.33005
Shlapakov, Sergei A.; Saigo, Megumi; Kilbas, Anatoly A.
6
1998
Application of generalized fractional calculus operators in the solution of an integral equation. Zbl 0918.33011
Saigo, Megumi; Saxena, R. K.
2
1998
Expansions of \(_4F_3\) when the upper parameters differ by integers. Zbl 0926.33004
Saigo, Megumi; Saxena, R. K.
1
1998
Starlike and convex functions of complex order involving a certain fractional integral operator. Zbl 0923.30008
Choi, Jae Ho; Saigo, Megumi
1
1998
Fractional calculus of the \(H\)-function. Zbl 0923.33006
Kilbas, Anatoly A.; Saigo, Megumi
1
1998
A theorem relating a generalized Weyl fractional integral, Laplace and Varma transforms with applications. Zbl 0907.44001
Saigo, Megumi; Goyal, S. P.; Saxena, Sunil
1
1998
Application of fractional calculus to solve Abel-Volterra nonlinear and linear integral equations. Zbl 0922.45002
Kilbas, Anatoly A.; Saigo, Megumi
1
1998
On the Mehler-Fock transform in \(L_ p\)-space. Zbl 0873.44002
Yakubovich, Semën B.; Saigo, Megumi
7
1997
Closed-form solution of a class of linear differential equations of fractional order. Zbl 0910.34001
Kilbas, A. A.; Saigo, Megumi
3
1997
\(L_{\nu,r}\)-theory of integral transformations with the \(H\)-function in the kernel. Zbl 1161.44304
Glaeske, H.-J.; Kilbas, A. A.; Saigo, M.; Shlapakov, S. A.
2
1997
On Mittag-Leffler type function, fractional calculus operators and solutions of integral equations. Zbl 0876.26007
Kilbas, Anatoly A.; Saigo, Megumi
34
1996
On generalized fractional calculus operators. Zbl 0917.26007
Saigo, M.
12
1996
On the solution of nonlinear Volterra convolution equation with power nonlinearity. Zbl 0874.45002
Karapetyants, Nikolai K.; Kilbas, Anatoly A.; Saigo, Megumi
6
1996
Solution in closed form of boundary value problem for degenerate equation of hyperbolic type. Zbl 0873.35053
Kilbas, Anatoly A.; Repin, Oleg A.; Saigo, Megumi
1
1996
Multidimensional fractional calculus operators involving the Gauss hypergeometric function. Zbl 0882.26004
Vu Kim Tuan; Raina, R. K.; Saigo, Megumi
1
1996
On generalized fractional integration operators with Fox’s \(H\)-function on spaces \(F_{p,\mu}\) and \(F_{p,\mu}^ \prime\). Zbl 0861.33011
Kilbas, Anatoly A.; Saigo, Megumi
1
1996
On Leibniz rules involving generalized fractional calculus operators. Zbl 0921.26004
Sakaeda, Naoto; Yakubovich, S. B.; Saigo, Megumi
1
1996
On solution in closed form of nonlinear integral and differential equations of fractional order. Zbl 0924.45010
Kilbas, Anatoly A.; Saigo, Megumi
1
1996
On solution of integral equation of Abel-Volterra type. Zbl 0823.45002
Kilbas, Anatoly A.; Saigo, Megumi
24
1995
Convolution of Hankel transform and its application to an integral involving Bessel functions of first kind. Zbl 0828.33001
Vu Kim Tuan; Saigo, Megumi
12
1995
Generalized fractional integrals and derivatives in Hölder spaces. Zbl 0917.26006
Saigo, M.; Kilbas, A. A.
8
1995
On asymptotic solutions of nonlinear Abel-Volterra integral equations with quasipolynomial free term. Zbl 0858.45007
Kilbas, Anatoly A.; Saigo, Megumi; Gorenflo, Rudolf
3
1995
On an integrable solution of multidimensional Abel-type integral equation. Zbl 0916.45005
Kilbas, Anatoly A.; Saigo, Megumi; Takushima, Hidekazu
1
1995
Some asymptotic expansions of special functions by their indices. Zbl 0935.33002
Yakubovich, S. B.; Saigo, Megumi; Gusarevich, L. D.
1
1995
A general fractional integral formula. Zbl 0842.33006
Agrawal, Rajni; Pareek, R. S.; Saigo, Megumi
1
1995
On the two-dimensional generalized Weyl fractional calculus associated with two dimensional H-transforms. Zbl 0855.44004
Saigo, Megumi; Saxena, R. K.; Ram, Jeta
1
1995
Integral transforms with Fox’s \(H\)-function in \({\mathfrak L}_{\nu,r}\)-spaces. II. Zbl 0918.44003
Kilbas, Anatoly A.; Saigo, Megumi; Shlapakov, Sergei A.
3
1994
On asymptotic solutions of nonlinear and linear Abel-Volterra integral equations. Zbl 0853.45004
Kilbas, Anatoly A.; Saigo, Megumi
2
1994
On asymptotic solutions of nonlinear and linear Abel-Volterra integral equations. II. Zbl 0853.45005
Saigo, Megumi; Kilbas, Anatoly A.
2
1994
On the class of Lebedev-Skalskaya type index transforms. Zbl 0917.44003
Yakubovich, S. B.; Saigo, Megumi; Lemeshevskaya, N. P.
2
1994
On the Mehler-Fock index transform in \(L_ p\)-space. Zbl 0861.44002
Yakubovich, Semen; Saigo, Megumi
1
1994
Fractional integral and Dirichlet averages. Zbl 0866.26004
Deora, Yogendra; Banerji, P. K.; Saigo, Megumi
1
1994
On Dirichlet average and fractional integral of a general class of polynomials. Zbl 0866.26005
Vyas, D. N.; Banerji, P. K.; Saigo, Megumi
1
1994
The behaviour of the fourth type of Lauricella’s hypergeometric series in \(n\) variables near the boundaries of its convergence region. Zbl 0810.33005
Saigo, Megumi; Srivastava, H. M.
1
1994
Integral transforms with Fox’s \(\mathbb{H}\)-function in spaces of summable functions. Zbl 0824.44004
Kilbas, Anatoly A.; Saigo, Megumi; Shlapakov, Sergei A.
9
1993
A note on fractional calculus operators involving Fox’s \(H\)-function on space F\(_{p,\mu}\). Zbl 0789.33006
Raina, R. K.; Saigo, Megumi
6
1993
On generalized fractional calculus operators and their compositions with axisymmetric differential operator of the potential theory on spaces \(\mathbb{F}_{p,\mu}\) and \(\mathbb{F}_{p,\mu}'\). Zbl 0932.26003
Saigo, Megumi; Raina, R. K.; Kilbas, A. A.
4
1993
Some existence and connection theorems associated with the Laplace transform and a certain class of integral operators. Zbl 0778.44002
Srivastava, H. M.; Saigo, Megumi; Raina, R. K.
3
1993
Multidimensional modified fractional calculus operators. Zbl 0794.26012
Vu Kim Tuan; Saigo, Megumi
3
1993
Integral transforms with Fox’s \(H\)-function in \({\mathfrak L}_{\nu,r}\)-spaces. Zbl 0915.44005
Kilbas, Anatoly A.; Saigo, Megumi; Shlapakov, Sergei A.
2
1993
Application of generalized fractional calculus operators in the solution of certain dual integral equations. Zbl 0822.45001
Saigo, Megumi; Saxena, R. K.; Ram, Jeta
2
1993
Certain properties of operators of fractional integration associated with Mellin and Laplace transformations. Zbl 0984.44500
Saigo, Megumi; Saxena, R. K.; Ram, Jeta
3
1992
Products of Laplace transform and fractional integrals on a space of generalized functions. Zbl 0787.46030
Glaeske, Hans-Jürgen; Saigo, Megumi
2
1992
On the fractional calculus operator associated with the \(H\)-function. Zbl 0761.33006
Saigo, Megumi; Saxena, R. K.; Ram, Jeta
2
1992
On the theory of convolution integrals for \(G\)-transforms. Zbl 0917.44004
Saigo, Megumi; Yakubovich, S. B.
2
1991
Some asymptotic formulas exhibiting the behaviors of the triple hypergeometric series \(F_ S\) and \(F_ T\) near the boundaries of their convergence regions. Zbl 0736.33010
Saigo, M.; Srivastava, H. M.
1
1991
On a certain fractional operator. Zbl 0760.30005
Owa, Shigeyoshi; Saigo, Megumi; Furuto, David M.
1
1991
The behavior of the zero-balanced hypergeometric series \({}_ pF_{p- 1}\) near the boundary of its convergence region. Zbl 0689.33003
Saigo, Megumi; Srivastava, H. M.
15
1990
Fractional calculus operators involving the Gauss function on spaces \(F_{p, \mu{}}\) and \(F'_{p, \mu{}}\). Zbl 0737.46030
Saigo, Megumi; Glaeske, Hans-Jürgen
6
1990
Some new results for radiation-field problems. Zbl 0718.33009
Saigo, Megumi; Srivastava, Rekha
4
1990
Fractional calculus on space \(F_{p,\mu{}}\). Zbl 0745.46045
Saigo, Megumi; Glaeske, Hans-Jürgen
1
1990
Some characterization theorems for starlike and convex functions involving a certain fractional integral operator. Zbl 0668.30013
Owa, Shigeyoshi; Saigo, Megumi; Srivastava, H. M.
9
1989
A class of distortion theorems involving certain operators of fractional calculus. Zbl 0628.30014
Srivastava, H. M.; Saigo, Megumi; Owa, Shigeyoshi
44
1988
Fractional calculus operators associated with a general class of polynomials. Zbl 0733.33003
Saigo, Megumi; Raina, R. K.
3
1988
On properties of the Lauricella hypergeometric function \(F_ D\). Zbl 0644.33004
Saigo, Megumi
1
1988
On properties of hypergeometric functions of three variables, \(F_ M\) and \(F_ G\). Zbl 0682.33001
Saigo, Megumi
1
1988
Multiplication of fractional calculus operators and boundary value problems involving the Euler-Darboux equation. Zbl 0875.35015
Srivastava, H. M.; Saigo, Megumi
27
1987
A generalization of fractional calculus. Zbl 0616.26007
Saigo, M.
3
1985
Transverse vibration of a rotor system driven by a Cardan joint. Zbl 0549.73048
Iwatsubo, T.; Saigo, M.
2
1984
On properties of the Appell hypergeometric functions \(F_ 2\) and \(F_ 3\) and the generalized Gauss function \(_ 2F_ 3\). Zbl 0525.33001
Saigo, Megumi
1
1983
A certain boundary value problem for the Euler-Darboux equation. III. Zbl 0457.35072
Saigo, Megumi
6
1981
A certain boundary value problem for the Euler-Darboux equation. II. Zbl 0457.35071
Saigo, Megumi
14
1980
...and 6 more Documents
all top 5

Cited by 648 Authors

45 Srivastava, Hari Mohan
31 Aouf, Mohamed Kamal
29 Kilbas, Anatoliĭ Aleksandrovich
22 Saigo, Megumi
22 Saxena, Ram Kishore
21 Agarwal, Praveen
21 Repin, Oleg Aleksandrovich
16 Cho, Nak Eun
14 Băleanu, Dumitru I.
14 Mostafa, Adela Osman
14 Suthar, Daya Lal
13 Seoudy, Tamer Mohamed
12 Sooppy Nisar, Kottakkaran
11 Mainardi, Francesco
10 Abdeljawad, Thabet
10 Raina, Ravinder Krishna
9 Haubold, Hans Joachim
9 Noor, Khalida Inayat
9 Tomovski, Živorad
8 Darus, Maslina
8 Mathai, Arakaparampli Mathai
8 Polito, Federico
8 Rogosin, Sergei V.
8 Sokół, Janusz
8 Trujillo, Juan J.
8 Zayed, Hanaa Mousa
7 Choi, Junesang
7 Chu, Yuming
7 Ghanim, Firas
7 Kemppainen, Jukka T.
7 Kumykova, Svetlana Kanshubievna
7 Purohit, Sunil Dutt
7 Tarasenko, Anna Valer’evna
6 Arshad, Muhammad Sarmad
6 Ibrahim, Rabha Waell
6 Jain, Shilpi
6 Kalla, Shyam Lal
6 Kumar, Dinesh
6 Mubeen, Shahid
6 Parmar, Rakesh Kumar
6 Prajapat, Jugal Kishore
6 Rahman, Gauhar
6 Shukla, Ajay Kumar
6 Wang, Miaokun
5 Agarwal, Ritu
5 Bulboacă, Teodor
5 Chen, Yangquan
5 Dziok, Jacek
5 Garrappa, Roberto
5 Karp, Dmitriĭ Borisovich
5 Kiliçman, Adem
5 Kiryakova, Virginia S.
5 Luo, Minjie
5 Mehrez, Khaled
5 Nieto Roig, Juan Jose
5 Owa, Shigeyoshi
5 Patel, Jagannath
5 Pogány, Tibor K.
5 Prilepkina, Elena Gumarovna
5 Swaminathan, Anbhu
4 Al-Omari, Shrideh Khalaf Qasem
4 Amsalu, Hafte
4 Bahaa, Gaber Mohamed
4 El-Ashwah, Rabha Mohamed
4 Gaboury, Sébastien
4 Garra, Roberto
4 Giusti, Andrea
4 Glaeske, Hans-Jürgen
4 Gorenflo, Rudolf
4 Jiang, Yueping
4 Kataria, Kuldeep Kumar
4 Kwon, Ohsang
4 Liu, Fawang
4 Mondal, Saiful Rahman
4 Nguyen Xuan Thao
4 Prasad, Akhilesh
4 Sandev, Trifce
4 Tarasov, Vasily E.
4 Vellaisamy, Palaniappan
4 Vieira, Nelson
4 Vu Kim Tuan
4 Yakubovich, Semyon B.
3 Abdulnaby, Zainab E.
3 Adwan, Eman Ahmed
3 Ansari, Alireza
3 Arias, Mariano R.
3 Arlanova, Ekaterina Yur’evna
3 Benitez, Rafael
3 Bukhari, Syed Zakar Hussain
3 de Oliveira, Edmundo Capelas
3 Chand, Mehar
3 Chaurasia, Vinod Bihari Lal
3 Dong, Jianping
3 Fernandez, Arran
3 Ferreira, Milton
3 Habenom, Haile
3 Jain, Rashmi
3 Jana, Ranjan Kumar
3 Khan, Nabiullah U.
3 Kim, Yong Chan
...and 548 more Authors
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Cited in 191 Serials

50 Integral Transforms and Special Functions
36 Applied Mathematics and Computation
28 Journal of Mathematical Analysis and Applications
27 Fractional Calculus & Applied Analysis
24 Computers & Mathematics with Applications
22 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
16 Abstract and Applied Analysis
16 Journal of Inequalities and Applications
13 Differential Equations
13 Advances in Difference Equations
11 Journal of Computational and Applied Mathematics
10 Russian Mathematics
9 Journal of Mathematics
9 International Journal of Applied and Computational Mathematics
8 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
8 Communications of the Korean Mathematical Society
8 Axioms
7 Journal of Mathematical Physics
7 Boletim da Sociedade Paranaense de Matemática. Terceira Série
7 Palestine Journal of Mathematics
7 Mathematics
6 Results in Mathematics
6 Journal of Integral Equations and Applications
6 Afrika Matematika
5 Chaos, Solitons and Fractals
5 Kyungpook Mathematical Journal
5 Mathematische Nachrichten
5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
5 Computational and Applied Mathematics
5 Nonlinear Dynamics
5 Communications in Nonlinear Science and Numerical Simulation
5 Complex Analysis and Operator Theory
5 Journal of Nonlinear Science and Applications
5 Advances in Mathematical Physics
5 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
5 Journal of Function Spaces
4 Astrophysics and Space Science
4 International Journal of Mathematics and Mathematical Sciences
4 Mathematical and Computer Modelling
4 Mathematical Problems in Engineering
4 Mediterranean Journal of Mathematics
4 Asian-European Journal of Mathematics
3 Journal of the Franklin Institute
3 Ukrainian Mathematical Journal
3 Journal of Differential Equations
3 Le Matematiche
3 Statistics & Probability Letters
3 Russian Journal of Mathematical Physics
3 Journal of the Egyptian Mathematical Society
3 Georgian Mathematical Journal
3 Journal of Applied Analysis
3 Doklady Mathematics
3 Honam Mathematical Journal
3 Lobachevskii Journal of Mathematics
3 Discrete and Continuous Dynamical Systems. Series B
3 International Journal of Differential Equations
3 Fractional Differential Calculus
3 Journal of Applied Mathematics, Statistics and Informatics
3 Cogent Mathematics
3 Korean Journal of Mathematics
2 Applicable Analysis
2 Computer Methods in Applied Mechanics and Engineering
2 International Journal of Theoretical Physics
2 Lithuanian Mathematical Journal
2 Mathematical Notes
2 Journal of Soviet Mathematics
2 Proceedings of the Japan Academy. Series A
2 Quaestiones Mathematicae
2 Rendiconti del Circolo Matemàtico di Palermo. Serie II
2 Statistics
2 Numerical Algorithms
2 The Journal of Analysis
2 Filomat
2 Boletín de la Sociedad Matemática Mexicana. Third Series
2 Vietnam Journal of Mathematics
2 Analysis (München)
2 Journal of Applied Mathematics
2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
2 Computational Methods and Function Theory
2 Journal of Applied Mathematics and Computing
2 Vladikavkazskiĭ Matematicheskiĭ Zhurnal
2 Boundary Value Problems
2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
2 Applications and Applied Mathematics
2 European Journal of Pure and Applied Mathematics
2 Tbilisi Mathematical Journal
2 Science China. Mathematics
2 ISRN Mathematical Analysis
2 ISRN Applied Mathematics
2 Mathematical Sciences
2 Journal of Classical Analysis
2 Electronic Journal of Mathematical Analysis and Applications EJMAA
2 Chinese Journal of Mathematics
2 Open Mathematics
1 Analysis Mathematica
1 Ingenieur-Archiv
1 Indian Journal of Pure & Applied Mathematics
1 Journal of Computational Physics
1 Mathematical Methods in the Applied Sciences
1 Physica A
...and 91 more Serials
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Cited in 44 Fields

262 Special functions (33-XX)
251 Real functions (26-XX)
166 Functions of a complex variable (30-XX)
114 Partial differential equations (35-XX)
87 Integral transforms, operational calculus (44-XX)
73 Ordinary differential equations (34-XX)
72 Integral equations (45-XX)
41 Numerical analysis (65-XX)
36 Operator theory (47-XX)
36 Probability theory and stochastic processes (60-XX)
24 Harmonic analysis on Euclidean spaces (42-XX)
18 Functional analysis (46-XX)
16 Statistics (62-XX)
12 Statistical mechanics, structure of matter (82-XX)
10 Number theory (11-XX)
9 Quantum theory (81-XX)
8 Mechanics of deformable solids (74-XX)
7 Difference and functional equations (39-XX)
7 Approximations and expansions (41-XX)
7 Systems theory; control (93-XX)
7 Information and communication theory, circuits (94-XX)
5 Calculus of variations and optimal control; optimization (49-XX)
5 Fluid mechanics (76-XX)
5 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
4 Potential theory (31-XX)
4 Classical thermodynamics, heat transfer (80-XX)
3 Mechanics of particles and systems (70-XX)
3 Optics, electromagnetic theory (78-XX)
3 Astronomy and astrophysics (85-XX)
2 History and biography (01-XX)
2 Combinatorics (05-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Measure and integration (28-XX)
2 Sequences, series, summability (40-XX)
2 Abstract harmonic analysis (43-XX)
2 Global analysis, analysis on manifolds (58-XX)
2 Relativity and gravitational theory (83-XX)
2 Biology and other natural sciences (92-XX)
1 Group theory and generalizations (20-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Dynamical systems and ergodic theory (37-XX)
1 General topology (54-XX)
1 Computer science (68-XX)
1 Operations research, mathematical programming (90-XX)

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