Edit Profile (opens in new tab) Saigo, Megumi Compute Distance To: Compute Author ID: saigo.megumi Published as: Saigo, Megumi; Saigo, M.; Saĭgo, M. more...less External Links: Math-Net.Ru · dblp Documents Indexed: 168 Publications since 1969, including 1 Book Reviewing Activity: 41 Reviews Biographic References: 3 Publications Co-Authors: 58 Co-Authors with 151 Joint Publications 1,775 Co-Co-Authors all top 5 Co-Authors 17 single-authored 64 Kilbas, Anatoliĭ Aleksandrovich 19 Saxena, Ram Kishore 16 Srivastava, Hari Mohan 15 Raina, Ravinder Krishna 10 Glaeske, Hans-Jürgen 10 Vu Kim Tuan 8 Yakubovich, Semyon B. 6 Choi, Jaeho 6 Kiryakova, Virginia S. 6 Owa, Shigeyoshi 6 Repin, Oleg Aleksandrovich 6 Shlapakov, Sergei A. 6 Trujillo, Juan J. 4 Banerji, Pradeep Kumar 4 Ikeda, Akira 4 Ram, Jeta 3 Bubakar, Silla 3 Kim, Yong Chan 3 Nguyen Thanh Hai 2 Borovco, Anna 2 Ismail, Ali Ahmad Izani Ahmad 2 Iwatsubo, T. 2 Karapetyants, Nikolaĭ Karapetovich 2 Koul, C. L. 2 Saitoh, Saburou 2 Samko, Stefan Grigor’evich 2 Takushima, Hidekazu 1 Agrawal, Rajani 1 Borovko, A. N. 1 Deora, Yogendra 1 Dinh Thanh Duc 1 Fukui, Seiichi 1 Furuto, David M. 1 Gehlot, Kuldeep Singh 1 Gorenflo, Rudolf 1 Goyal, Som Prakash 1 Gusarevich, L. D. 1 Il’in, Vladimir Aleksandrovich 1 Jaimini, B. B. 1 Kant, Shashi 1 Lecko, Adam 1 Lemeshevskaya, N. P. 1 Maeda, Nobuyuki 1 Marichev, Oleg Igorevich 1 Moiseev, Evgeniĭ Ivanovich 1 Nonami, Kenzo 1 Ohmori, Masahiro 1 Pareek, R. S. 1 Rodriguez-Germá, Luis 1 Sakaeda, Naoto 1 Saxena, Sunil 1 Sinha, Deepali 1 Sivrioglu, Selim 1 Srivastava, G. M. 1 Srivastava, Rekha 1 Vasilets, Sergei I. 1 Vyas, Dinesh N. 1 Zhuk, V. A. all top 5 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 all top 5 Fields 87 Special functions (33-XX) 72 Real functions (26-XX) 44 Integral transforms, operational calculus (44-XX) 24 Integral equations (45-XX) 20 Functions of a complex variable (30-XX) 16 Partial differential equations (35-XX) 10 Functional analysis (46-XX) 9 Operator theory (47-XX) 7 Ordinary differential equations (34-XX) 5 Approximations and expansions (41-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 3 Mechanics of particles and systems (70-XX) 2 Potential theory (31-XX) 2 Mechanics of deformable solids (74-XX) 1 History and biography (01-XX) 1 Statistics (62-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 106 Publications have been cited 1,121 times in 776 Documents Cited by ▼ Year ▼ Generalized Mittag-Leffler function and generalized fractional calculus operators. Zbl 1047.33011Kilbas, Anatoly A.; Saigo, Megumi; Saxena, R. K. 171 2004 H-transforms. Theory and applications. Zbl 1056.44001Kilbas, Anatoly A.; Saigo, Megumi 109 2004 Some inclusion properties of a certain family of integral operators. Zbl 1035.30004Choi, Jae Ho; Saigo, Megumi; Srivastava, H. M. 102 2002 A remark on integral operators involving the Gauss hypergeometric functions. Zbl 0399.45022Saigo, Megumi 69 1978 On the generalized Wright function. Zbl 1027.33015Kilbas, Anatoly A.; Saigo, Megumi; Trujillo, Juan J. 47 2002 A class of distortion theorems involving certain operators of fractional calculus. Zbl 0628.30014Srivastava, H. M.; Saigo, Megumi; Owa, Shigeyoshi 45 1988 More generalization of fractional calculus. Zbl 0926.26003Saigo, Megumi; Maeda, Nobuyuki 45 1998 On Mittag-Leffler type function, fractional calculus operators and solutions of integral equations. Zbl 0876.26007Kilbas, Anatoly A.; Saigo, Megumi 41 1996 A certain boundary value problem for the Euler-Darboux equation. Zbl 0428.35064Saigo, Megumi 35 1979 Solution of Volterra integrodifferential equations with generalized Mittag-Leffler function in the Kernels. Zbl 1041.45011Kilbas, Anatoly A.; Saigo, Megumi; Saxena, R. K. 29 2002 On solution of integral equation of Abel-Volterra type. Zbl 0823.45002Kilbas, Anatoly A.; Saigo, Megumi 28 1995 Multiplication of fractional calculus operators and boundary value problems involving the Euler-Darboux equation. Zbl 0875.35015Srivastava, H. M.; Saigo, Megumi 28 1987 On Mittag-Leffler type function and applications. Zbl 0933.26001Saigo, Megumi; Kilbas, Anatoly A. 22 1998 Generalized fractional calculus of the \(H\)-function associated with the Appell function \(F_3\). Zbl 0984.33006Saxena, R. K.; Saigo, Megumi 19 2001 A certain boundary value problem for the Euler-Darboux equation. II. Zbl 0457.35071Saigo, Megumi 16 1980 Certain properties of fractional calculus operators associated with generalized Mittag-Leffler function. Zbl 1144.26010Saxena, R. K.; Saigo, Megumi 16 2005 On solution of nonlinear Abel-Volterra integral equation. Zbl 0917.45004Kilbas, 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 0689.33003Saigo, Megumi; Srivastava, H. M. 15 1990 Convolution of Hankel transform and its application to an integral involving Bessel functions of first kind. Zbl 0828.33001Vu Kim Tuan; Saigo, Megumi 13 1995 On generalized fractional calculus operators. Zbl 0917.26007Saigo, M. 13 1996 Upper and lower bounds for solutions of nonlinear Volterra convolution integral equations with power nonlinearity. Zbl 0982.45003Karapetyants, Nikolai K.; Kilbas, Anatoly A.; Saigo, Megumi; Samko, Stefan G. 12 2000 Geometric properties of convolution operators defined by Gaussian hypergeometric functions. Zbl 1019.30011Choi, Jae Ho; Kim, Yong Chan; Saigo, Megumi 12 2002 Some characterization theorems for starlike and convex functions involving a certain fractional integral operator. Zbl 0668.30013Owa, Shigeyoshi; Saigo, Megumi; Srivastava, H. M. 9 1989 Integral transforms with Fox’s \(\mathbb{H}\)-function in spaces of summable functions. Zbl 0824.44004Kilbas, Anatoly A.; Saigo, Megumi; Shlapakov, Sergei A. 9 1993 Some criteria for univalence of analytic functions involving generalized fractional calculus operators. Zbl 0951.30012Kiryakova, V.; Saigo, M.; Srivastava, H. M. 8 1998 Generalized fractional integrals and derivatives in Hölder spaces. Zbl 0917.26006Saigo, M.; Kilbas, A. A. 8 1995 On the Mehler-Fock transform in \(L_ p\)-space. Zbl 0873.44002Yakubovich, Semën B.; Saigo, Megumi 7 1997 A certain boundary value problem for the Euler-Darboux equation. III. Zbl 0457.35072Saigo, Megumi 6 1981 On the solution of nonlinear Volterra convolution equation with power nonlinearity. Zbl 0874.45002Karapetyants, Nikolai K.; Kilbas, Anatoly A.; Saigo, Megumi 6 1996 A note on fractional calculus operators involving Fox’s \(H\)-function on space F\(_{p,\mu}\). Zbl 0789.33006Raina, R. K.; Saigo, Megumi 6 1993 Fractional calculus operators involving the Gauss function on spaces \(F_{p, \mu{}}\) and \(F'_{p, \mu{}}\). Zbl 0737.46030Saigo, Megumi; Glaeske, Hans-Jürgen 6 1990 A modified Bessel-type integral transform and its compositions with fractional calculus operators on spaces \(F_{p,\mu}\) and \(F_{p,\mu}^{\prime}\). Zbl 0958.44004Glaeske, H.-J.; Kilbas, Anatoly A.; Saigo, Megumi 6 2000 On inversion of \(H\)-transform in \({\mathfrak L}_{v,r}\)-space. Zbl 0912.33005Shlapakov, Sergei A.; Saigo, Megumi; Kilbas, Anatoly A. 6 1998 Generalized fractional calculus of the \(H\)-function. Zbl 0942.33008Saigo, Megumi; Kilbas, Anatoly A. 6 1999 The Krätzel function and evaluation of integrals. Zbl 1189.33037Kilbas, Anatoly A.; Rodríguez-Germá, Luis; Saigo, Megumi; Saxena, R. K.; Trujillo, J. J. 5 2010 Closed-form solution of a class of linear differential equations of fractional order. Zbl 0910.34001Kilbas, A. A.; Saigo, Megumi 5 1997 Plancherel and Paley-Wiener theorems for an index integral transform. Zbl 0962.44005Tuan, Vu Kim; Ismail, Ali; Saigo, Megumi 4 2000 Some new results for radiation-field problems. Zbl 0718.33009Saigo, Megumi; Srivastava, Rekha 4 1990 Application of generalized fractional calculus operators in the solution of an integral equation. Zbl 0918.33011Saigo, Megumi; Saxena, R. K. 4 1998 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 0932.26003Saigo, Megumi; Raina, R. K.; Kilbas, A. A. 4 1993 On the \(H\)-function. Zbl 0934.33018Kilbas, Anatoly A.; Saigo, Megumi 4 1999 Criteria for generalized fractional integrals to preserve univalency of analytic functions. Zbl 1088.30006Kiryakova, V.; Saigo, M. 3 2005 Solvability of some Abel-type integral equations involving the Gauss hypergeometric function as kernels in the spaces of summable functions. Zbl 0989.45003Raina, R. K.; Srivastava, H. M.; Kilbas, A. A.; Saigo, M. 3 2001 Certain properties of operators of fractional integration associated with Mellin and Laplace transformations. Zbl 0984.44500Saigo, Megumi; Saxena, R. K.; Ram, Jeta 3 1992 Multidimensional modified fractional calculus operators. Zbl 0794.26012Vu Kim Tuan; Saigo, Megumi 3 1993 A generalization of fractional calculus. Zbl 0616.26007Saigo, M. 3 1985 On asymptotic solutions of nonlinear Abel-Volterra integral equations with quasipolynomial free term. Zbl 0858.45007Kilbas, Anatoly A.; Saigo, Megumi; Gorenflo, Rudolf 3 1995 The solution of a class of linear differential equations via functions of Mittag-Leffler type. Zbl 0982.34002Saigo, M.; Kilbas, A. A. 3 2000 Some existence and connection theorems associated with the Laplace transform and a certain class of integral operators. Zbl 0778.44002Srivastava, H. M.; Saigo, Megumi; Raina, R. K. 3 1993 Parametric instability of clamped-clamped and clamped-simply supported columns under periodic axial load. Zbl 0265.73044Iwatsubo, T.; Saigo, M.; Sugiyama, Y. 3 1973 Fractional calculus operators associated with a general class of polynomials. Zbl 0733.33003Saigo, Megumi; Raina, R. K. 3 1988 On the class of Lebedev-Skalskaya type index transforms. Zbl 0917.44003Yakubovich, S. B.; Saigo, Megumi; Lemeshevskaya, N. P. 3 1994 Integral transforms with Fox’s \(H\)-function in \({\mathfrak L}_{\nu,r}\)-spaces. II. Zbl 0918.44003Kilbas, Anatoly A.; Saigo, Megumi; Shlapakov, Sergei A. 3 1994 Solution of multidimensional hypergeometric integral equations of Abel type. Zbl 1039.45502Kilbas, A. A.; Raina, R. K.; Saigo, M.; Srivastava, G. M. 2 1999 \(L_{\nu,r}\)-theory of integral transformations with the \(H\)-function in the kernel. Zbl 1161.44304Glaeske, H.-J.; Kilbas, A. A.; Saigo, M.; Shlapakov, S. A. 2 1997 Transverse vibration of a rotor system driven by a Cardan joint. Zbl 0549.73048Iwatsubo, T.; Saigo, M. 2 1984 Products of Laplace transform and fractional integrals on a space of generalized functions. Zbl 0787.46030Glaeske, Hans-Jürgen; Saigo, Megumi 2 1992 On the fractional calculus operator associated with the \(H\)-function. Zbl 0761.33006Saigo, Megumi; Saxena, R. K.; Ram, Jeta 2 1992 On asymptotic solutions of nonlinear and linear Abel-Volterra integral equations. Zbl 0853.45004Kilbas, Anatoly A.; Saigo, Megumi 2 1994 On asymptotic solutions of nonlinear and linear Abel-Volterra integral equations. II. Zbl 0853.45005Saigo, Megumi; Kilbas, Anatoly A. 2 1994 On the Mehler-Fock index transform in \(L_ p\)-space. Zbl 0861.44002Yakubovich, Semen; Saigo, Megumi 2 1994 On the Meijer transform in \({\mathcal L}_{\nu, \tau}\)-space. Zbl 0974.44003Kilbas, A. A.; Saigo, M.; Trujillo, J. J. 2 2000 Integral transforms with \(H\)-function kernels on \({\mathfrak L}_{\nu,r}\)-spaces. Zbl 1020.44003Glaeske, Hans-Jürgen; Kilbas, Anatoly A.; Saigo, Megumi; Shlapakov, Sergei A. 2 2001 Unified fractional integral formulas for the multivariable \(H\)-function. III. Zbl 1008.33007Saigo, Megumi; Saxena, R. K. 2 2001 Application of generalized fractional calculus operators in the solution of certain dual integral equations. Zbl 0822.45001Saigo, Megumi; Saxena, R. K.; Ram, Jeta 2 1993 On uniqueness and estimations for solutions of modified Frankl’ problem for linear and nonlinear equations of mixed type. Zbl 0238.35058Saigo, Megumi 2 1972 Integral transforms with Fox’s \(H\)-function in \({\mathfrak L}_{\nu,r}\)-spaces. Zbl 0915.44005Kilbas, Anatoly A.; Saigo, Megumi; Shlapakov, Sergei A. 2 1993 On the theory of convolution integrals for \(G\)-transforms. Zbl 0917.44004Saigo, Megumi; Yakubovich, S. B. 2 1991 Fractional calculus of the \(H\)-function. Zbl 0923.33006Kilbas, Anatoly A.; Saigo, Megumi 2 1998 The generalized Hardy-Titchmarsh transform in the space of summable functions. Zbl 1045.44002Kilbas, 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 1057.30012Kiryakova, Virginia S.; Saigo, Megumi; Owa, Shigeyoshi 1 2004 Low power consumption nonlinear control with \(H_\infty\) compensator for a zero-bias flywheel AMB system. Zbl 1074.70582Sivrioglu, S.; Nonami, K.; Saigo, M. 1 2004 Series representations and asymptotic expansions of extended generalized hypergeometric function. Zbl 1298.33022Kilbas, Anatoly A.; Saxena, R. K.; Saigo, Megumi; Trujillo, Juan J. 1 2012 On properties of hypergeometric functions of three variables, \(F_ M\) and \(F_ G\). Zbl 0682.33001Saigo, Megumi 1 1988 Unified fractional integral formulas for the multivariable \(H\)-function. Zbl 0955.33008Saigo, Megumi; Saxena, R. K. 1 1999 Unified fractional integral formulas for the multivariable \(H\)-function. II. Zbl 1125.33305Saigo, Megumi; Saxena, R. K. 1 1999 On properties of the Lauricella hypergeometric function \(F_ D\). Zbl 0644.33004Saigo, Megumi 1 1988 Some asymptotic formulas exhibiting the behaviors of the triple hypergeometric series \(F_ S\) and \(F_ T\) near the boundaries of their convergence regions. Zbl 0736.33010Saigo, M.; Srivastava, H. M. 1 1991 On a certain fractional operator. Zbl 0760.30005Owa, Shigeyoshi; Saigo, Megumi; Furuto, David M. 1 1991 Fractional calculus on space \(F_{p,\mu{}}\). Zbl 0745.46045Saigo, Megumi; Glaeske, Hans-Jürgen 1 1990 A general fractional integral formula. Zbl 0842.33006Agrawal, Rajni; Pareek, R. S.; Saigo, Megumi 1 1995 On the two-dimensional generalized Weyl fractional calculus associated with two dimensional H-transforms. Zbl 0855.44004Saigo, Megumi; Saxena, R. K.; Ram, Jeta 1 1995 On generalized fractional integration operators with Fox’s \(H\)-function on spaces \(F_{p,\mu}\) and \(F_{p,\mu}^ \prime\). Zbl 0861.33011Kilbas, Anatoly A.; Saigo, Megumi 1 1996 Generalized fractional integral transforms with Gauss function kernels as \(G\)-transforms. Zbl 1028.44004Kilbas, Anatoly A.; Repin, Oleg A.; Saigo, Megumi 1 2002 On properties of the Appell hypergeometric functions \(F_ 2\) and \(F_ 3\) and the generalized Gauss function \(_ 2F_ 3\). Zbl 0525.33001Saigo, Megumi 1 1983 Obituary. Anatolii Platonovich Prudnikov (1927-1999). Zbl 0938.01039Glaeske, H.-J.; Il’in, V. A.; Kilbas, A. A.; Moiseev, E. I.; Saigo, M.; Samko, S. G. 1 1999 Nonlocal problem for a hyperbolic equation with fractional derivatives in the boundary condition. Zbl 1015.35059Kilbas, A. A.; Repin, O. A.; Saigo, Megumi 1 2002 On an index integral transform involving the modified Bessel function. Zbl 1022.44004Tuan, Vu Kim; Ismail, Ali; Saigo, Megumi 1 2001 On the Lommel-Maitland transform in \(\mathfrak L_{\nu,r}\)-space. Zbl 1032.44007Kilbas, Anatoly A.; Saigo, Megumi; Borovco, Anna 1 1999 On a property of the Appell hypergeometric function \(F_1\). Zbl 0452.33002Saigo, Megumi 1 1980 On the generalized Hardy-Titchmarsh transform in \({\mathfrak L}_{\nu,r}\)-space. Zbl 0958.44006Kilbas, Anatoly A.; Saigo, Megumi; Borovco, Anna 1 2000 The behaviour of the fourth type of Lauricella’s hypergeometric series in \(n\) variables near the boundaries of its convergence region. Zbl 0810.33005Saigo, Megumi; Srivastava, H. M. 1 1994 Multidimensional fractional calculus operators involving the Gauss hypergeometric function. Zbl 0882.26004Vu Kim Tuan; Raina, R. K.; Saigo, Megumi 1 1996 A theorem relating a generalized Weyl fractional integral, Laplace and Varma transforms with applications. Zbl 0907.44001Saigo, Megumi; Goyal, S. P.; Saxena, Sunil 1 1998 On the solutions of the modified Frankl’ problem. Zbl 0238.35059Saigo, Megumi 1 1972 Fractional integral and Dirichlet averages. Zbl 0866.26004Deora, Yogendra; Banerji, P. K.; Saigo, Megumi 1 1994 On Dirichlet average and fractional integral of a general class of polynomials. Zbl 0866.26005Vyas, D. N.; Banerji, P. K.; Saigo, Megumi 1 1994 On an integrable solution of multidimensional Abel-type integral equation. Zbl 0916.45005Kilbas, Anatoly A.; Saigo, Megumi; Takushima, Hidekazu 1 1995 Some asymptotic expansions of special functions by their indices. Zbl 0935.33002Yakubovich, S. B.; Saigo, Megumi; Gusarevich, L. D. 1 1995 On Leibniz rules involving generalized fractional calculus operators. Zbl 0921.26004Sakaeda, Naoto; Yakubovich, S. B.; Saigo, Megumi 1 1996 Series representations and asymptotic expansions of extended generalized hypergeometric function. Zbl 1298.33022Kilbas, Anatoly A.; Saxena, R. K.; Saigo, Megumi; Trujillo, Juan J. 1 2012 The Krätzel function and evaluation of integrals. Zbl 1189.33037Kilbas, 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 1144.26010Saxena, R. K.; Saigo, Megumi 16 2005 Criteria for generalized fractional integrals to preserve univalency of analytic functions. Zbl 1088.30006Kiryakova, V.; Saigo, M. 3 2005 Generalized Mittag-Leffler function and generalized fractional calculus operators. Zbl 1047.33011Kilbas, Anatoly A.; Saigo, Megumi; Saxena, R. K. 171 2004 H-transforms. Theory and applications. Zbl 1056.44001Kilbas, Anatoly A.; Saigo, Megumi 109 2004 Distortion and characterization theorems for generalized fractional integration operators involving \(H\)-function in subclasses of univalent functions. Zbl 1057.30012Kiryakova, Virginia S.; Saigo, Megumi; Owa, Shigeyoshi 1 2004 Low power consumption nonlinear control with \(H_\infty\) compensator for a zero-bias flywheel AMB system. Zbl 1074.70582Sivrioglu, S.; Nonami, K.; Saigo, M. 1 2004 Some inclusion properties of a certain family of integral operators. Zbl 1035.30004Choi, Jae Ho; Saigo, Megumi; Srivastava, H. M. 102 2002 On the generalized Wright function. Zbl 1027.33015Kilbas, Anatoly A.; Saigo, Megumi; Trujillo, Juan J. 47 2002 Solution of Volterra integrodifferential equations with generalized Mittag-Leffler function in the Kernels. Zbl 1041.45011Kilbas, Anatoly A.; Saigo, Megumi; Saxena, R. K. 29 2002 Geometric properties of convolution operators defined by Gaussian hypergeometric functions. Zbl 1019.30011Choi, Jae Ho; Kim, Yong Chan; Saigo, Megumi 12 2002 Generalized fractional integral transforms with Gauss function kernels as \(G\)-transforms. Zbl 1028.44004Kilbas, Anatoly A.; Repin, Oleg A.; Saigo, Megumi 1 2002 Nonlocal problem for a hyperbolic equation with fractional derivatives in the boundary condition. Zbl 1015.35059Kilbas, A. A.; Repin, O. A.; Saigo, Megumi 1 2002 Generalized fractional calculus of the \(H\)-function associated with the Appell function \(F_3\). Zbl 0984.33006Saxena, R. K.; Saigo, Megumi 19 2001 Solvability of some Abel-type integral equations involving the Gauss hypergeometric function as kernels in the spaces of summable functions. Zbl 0989.45003Raina, R. K.; Srivastava, H. M.; Kilbas, A. A.; Saigo, M. 3 2001 Integral transforms with \(H\)-function kernels on \({\mathfrak L}_{\nu,r}\)-spaces. Zbl 1020.44003Glaeske, Hans-Jürgen; Kilbas, Anatoly A.; Saigo, Megumi; Shlapakov, Sergei A. 2 2001 Unified fractional integral formulas for the multivariable \(H\)-function. III. Zbl 1008.33007Saigo, Megumi; Saxena, R. K. 2 2001 On an index integral transform involving the modified Bessel function. Zbl 1022.44004Tuan, Vu Kim; Ismail, Ali; Saigo, Megumi 1 2001 Upper and lower bounds for solutions of nonlinear Volterra convolution integral equations with power nonlinearity. Zbl 0982.45003Karapetyants, Nikolai K.; Kilbas, Anatoly A.; Saigo, Megumi; Samko, Stefan G. 12 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 0958.44004Glaeske, H.-J.; Kilbas, Anatoly A.; Saigo, Megumi 6 2000 Plancherel and Paley-Wiener theorems for an index integral transform. Zbl 0962.44005Tuan, Vu Kim; Ismail, Ali; Saigo, Megumi 4 2000 The solution of a class of linear differential equations via functions of Mittag-Leffler type. Zbl 0982.34002Saigo, M.; Kilbas, A. A. 3 2000 On the Meijer transform in \({\mathcal L}_{\nu, \tau}\)-space. Zbl 0974.44003Kilbas, A. A.; Saigo, M.; Trujillo, J. J. 2 2000 The generalized Hardy-Titchmarsh transform in the space of summable functions. Zbl 1045.44002Kilbas, A. A.; Saigo, M.; Borovko, A. N. 1 2000 On the generalized Hardy-Titchmarsh transform in \({\mathfrak L}_{\nu,r}\)-space. Zbl 0958.44006Kilbas, Anatoly A.; Saigo, Megumi; Borovco, Anna 1 2000 On solution of nonlinear Abel-Volterra integral equation. Zbl 0917.45004Kilbas, Anatoly A.; Saigo, Megumi 16 1999 Generalized fractional calculus of the \(H\)-function. Zbl 0942.33008Saigo, Megumi; Kilbas, Anatoly A. 6 1999 On the \(H\)-function. Zbl 0934.33018Kilbas, Anatoly A.; Saigo, Megumi 4 1999 Solution of multidimensional hypergeometric integral equations of Abel type. Zbl 1039.45502Kilbas, A. A.; Raina, R. K.; Saigo, M.; Srivastava, G. M. 2 1999 Unified fractional integral formulas for the multivariable \(H\)-function. Zbl 0955.33008Saigo, Megumi; Saxena, R. K. 1 1999 Unified fractional integral formulas for the multivariable \(H\)-function. II. Zbl 1125.33305Saigo, Megumi; Saxena, R. K. 1 1999 Obituary. Anatolii Platonovich Prudnikov (1927-1999). Zbl 0938.01039Glaeske, H.-J.; Il’in, V. A.; Kilbas, A. A.; Moiseev, E. I.; Saigo, M.; Samko, S. G. 1 1999 On the Lommel-Maitland transform in \(\mathfrak L_{\nu,r}\)-space. Zbl 1032.44007Kilbas, Anatoly A.; Saigo, Megumi; Borovco, Anna 1 1999 Modified fractional integral operators in \(L_p\) space with power-logarithmic weight. Zbl 1029.26001Tuan, Vu Kim; Saigo, Megumi 1 1999 More generalization of fractional calculus. Zbl 0926.26003Saigo, Megumi; Maeda, Nobuyuki 45 1998 On Mittag-Leffler type function and applications. Zbl 0933.26001Saigo, Megumi; Kilbas, Anatoly A. 22 1998 Some criteria for univalence of analytic functions involving generalized fractional calculus operators. Zbl 0951.30012Kiryakova, V.; Saigo, M.; Srivastava, H. M. 8 1998 On inversion of \(H\)-transform in \({\mathfrak L}_{v,r}\)-space. Zbl 0912.33005Shlapakov, Sergei A.; Saigo, Megumi; Kilbas, Anatoly A. 6 1998 Application of generalized fractional calculus operators in the solution of an integral equation. Zbl 0918.33011Saigo, Megumi; Saxena, R. K. 4 1998 Fractional calculus of the \(H\)-function. Zbl 0923.33006Kilbas, Anatoly A.; Saigo, Megumi 2 1998 A theorem relating a generalized Weyl fractional integral, Laplace and Varma transforms with applications. Zbl 0907.44001Saigo, Megumi; Goyal, S. P.; Saxena, Sunil 1 1998 Expansions of \(_4F_3\) when the upper parameters differ by integers. Zbl 0926.33004Saigo, Megumi; Saxena, R. K. 1 1998 Starlike and convex functions of complex order involving a certain fractional integral operator. Zbl 0923.30008Choi, Jae Ho; Saigo, Megumi 1 1998 Application of fractional calculus to solve Abel-Volterra nonlinear and linear integral equations. Zbl 0922.45002Kilbas, Anatoly A.; Saigo, Megumi 1 1998 On the Mehler-Fock transform in \(L_ p\)-space. Zbl 0873.44002Yakubovich, Semën B.; Saigo, Megumi 7 1997 Closed-form solution of a class of linear differential equations of fractional order. Zbl 0910.34001Kilbas, A. A.; Saigo, Megumi 5 1997 \(L_{\nu,r}\)-theory of integral transformations with the \(H\)-function in the kernel. Zbl 1161.44304Glaeske, 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 0876.26007Kilbas, Anatoly A.; Saigo, Megumi 41 1996 On generalized fractional calculus operators. Zbl 0917.26007Saigo, M. 13 1996 On the solution of nonlinear Volterra convolution equation with power nonlinearity. Zbl 0874.45002Karapetyants, Nikolai K.; Kilbas, Anatoly A.; Saigo, Megumi 6 1996 On generalized fractional integration operators with Fox’s \(H\)-function on spaces \(F_{p,\mu}\) and \(F_{p,\mu}^ \prime\). Zbl 0861.33011Kilbas, Anatoly A.; Saigo, Megumi 1 1996 Multidimensional fractional calculus operators involving the Gauss hypergeometric function. Zbl 0882.26004Vu Kim Tuan; Raina, R. K.; Saigo, Megumi 1 1996 On Leibniz rules involving generalized fractional calculus operators. Zbl 0921.26004Sakaeda, Naoto; Yakubovich, S. B.; Saigo, Megumi 1 1996 On solution in closed form of nonlinear integral and differential equations of fractional order. Zbl 0924.45010Kilbas, Anatoly A.; Saigo, Megumi 1 1996 Solution in closed form of boundary value problem for degenerate equation of hyperbolic type. Zbl 0873.35053Kilbas, Anatoly A.; Repin, Oleg A.; Saigo, Megumi 1 1996 On solution of integral equation of Abel-Volterra type. Zbl 0823.45002Kilbas, Anatoly A.; Saigo, Megumi 28 1995 Convolution of Hankel transform and its application to an integral involving Bessel functions of first kind. Zbl 0828.33001Vu Kim Tuan; Saigo, Megumi 13 1995 Generalized fractional integrals and derivatives in Hölder spaces. Zbl 0917.26006Saigo, M.; Kilbas, A. A. 8 1995 On asymptotic solutions of nonlinear Abel-Volterra integral equations with quasipolynomial free term. Zbl 0858.45007Kilbas, Anatoly A.; Saigo, Megumi; Gorenflo, Rudolf 3 1995 A general fractional integral formula. Zbl 0842.33006Agrawal, Rajni; Pareek, R. S.; Saigo, Megumi 1 1995 On the two-dimensional generalized Weyl fractional calculus associated with two dimensional H-transforms. Zbl 0855.44004Saigo, Megumi; Saxena, R. K.; Ram, Jeta 1 1995 On an integrable solution of multidimensional Abel-type integral equation. Zbl 0916.45005Kilbas, Anatoly A.; Saigo, Megumi; Takushima, Hidekazu 1 1995 Some asymptotic expansions of special functions by their indices. Zbl 0935.33002Yakubovich, S. B.; Saigo, Megumi; Gusarevich, L. D. 1 1995 On the class of Lebedev-Skalskaya type index transforms. Zbl 0917.44003Yakubovich, S. B.; Saigo, Megumi; Lemeshevskaya, N. P. 3 1994 Integral transforms with Fox’s \(H\)-function in \({\mathfrak L}_{\nu,r}\)-spaces. II. Zbl 0918.44003Kilbas, Anatoly A.; Saigo, Megumi; Shlapakov, Sergei A. 3 1994 On asymptotic solutions of nonlinear and linear Abel-Volterra integral equations. Zbl 0853.45004Kilbas, Anatoly A.; Saigo, Megumi 2 1994 On asymptotic solutions of nonlinear and linear Abel-Volterra integral equations. II. Zbl 0853.45005Saigo, Megumi; Kilbas, Anatoly A. 2 1994 On the Mehler-Fock index transform in \(L_ p\)-space. Zbl 0861.44002Yakubovich, Semen; Saigo, Megumi 2 1994 The behaviour of the fourth type of Lauricella’s hypergeometric series in \(n\) variables near the boundaries of its convergence region. Zbl 0810.33005Saigo, Megumi; Srivastava, H. M. 1 1994 Fractional integral and Dirichlet averages. Zbl 0866.26004Deora, Yogendra; Banerji, P. K.; Saigo, Megumi 1 1994 On Dirichlet average and fractional integral of a general class of polynomials. Zbl 0866.26005Vyas, D. N.; Banerji, P. K.; Saigo, Megumi 1 1994 Integral transforms with Fox’s \(\mathbb{H}\)-function in spaces of summable functions. Zbl 0824.44004Kilbas, 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 0789.33006Raina, 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 0932.26003Saigo, Megumi; Raina, R. K.; Kilbas, A. A. 4 1993 Multidimensional modified fractional calculus operators. Zbl 0794.26012Vu Kim Tuan; Saigo, Megumi 3 1993 Some existence and connection theorems associated with the Laplace transform and a certain class of integral operators. Zbl 0778.44002Srivastava, H. M.; Saigo, Megumi; Raina, R. K. 3 1993 Application of generalized fractional calculus operators in the solution of certain dual integral equations. Zbl 0822.45001Saigo, Megumi; Saxena, R. K.; Ram, Jeta 2 1993 Integral transforms with Fox’s \(H\)-function in \({\mathfrak L}_{\nu,r}\)-spaces. Zbl 0915.44005Kilbas, Anatoly A.; Saigo, Megumi; Shlapakov, Sergei A. 2 1993 Certain properties of operators of fractional integration associated with Mellin and Laplace transformations. Zbl 0984.44500Saigo, Megumi; Saxena, R. K.; Ram, Jeta 3 1992 Products of Laplace transform and fractional integrals on a space of generalized functions. Zbl 0787.46030Glaeske, Hans-Jürgen; Saigo, Megumi 2 1992 On the fractional calculus operator associated with the \(H\)-function. Zbl 0761.33006Saigo, Megumi; Saxena, R. K.; Ram, Jeta 2 1992 On the theory of convolution integrals for \(G\)-transforms. Zbl 0917.44004Saigo, 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 0736.33010Saigo, M.; Srivastava, H. M. 1 1991 On a certain fractional operator. Zbl 0760.30005Owa, 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 0689.33003Saigo, Megumi; Srivastava, H. M. 15 1990 Fractional calculus operators involving the Gauss function on spaces \(F_{p, \mu{}}\) and \(F'_{p, \mu{}}\). Zbl 0737.46030Saigo, Megumi; Glaeske, Hans-Jürgen 6 1990 Some new results for radiation-field problems. Zbl 0718.33009Saigo, Megumi; Srivastava, Rekha 4 1990 Fractional calculus on space \(F_{p,\mu{}}\). Zbl 0745.46045Saigo, Megumi; Glaeske, Hans-Jürgen 1 1990 Some characterization theorems for starlike and convex functions involving a certain fractional integral operator. Zbl 0668.30013Owa, Shigeyoshi; Saigo, Megumi; Srivastava, H. M. 9 1989 A class of distortion theorems involving certain operators of fractional calculus. Zbl 0628.30014Srivastava, H. M.; Saigo, Megumi; Owa, Shigeyoshi 45 1988 Fractional calculus operators associated with a general class of polynomials. Zbl 0733.33003Saigo, Megumi; Raina, R. K. 3 1988 On properties of hypergeometric functions of three variables, \(F_ M\) and \(F_ G\). Zbl 0682.33001Saigo, Megumi 1 1988 On properties of the Lauricella hypergeometric function \(F_ D\). Zbl 0644.33004Saigo, Megumi 1 1988 Multiplication of fractional calculus operators and boundary value problems involving the Euler-Darboux equation. Zbl 0875.35015Srivastava, H. M.; Saigo, Megumi 28 1987 A generalization of fractional calculus. Zbl 0616.26007Saigo, M. 3 1985 Transverse vibration of a rotor system driven by a Cardan joint. Zbl 0549.73048Iwatsubo, 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 0525.33001Saigo, Megumi 1 1983 A certain boundary value problem for the Euler-Darboux equation. III. Zbl 0457.35072Saigo, Megumi 6 1981 A certain boundary value problem for the Euler-Darboux equation. II. Zbl 0457.35071Saigo, Megumi 16 1980 ...and 6 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 799 Authors 46 Srivastava, Hari Mohan 31 Aouf, Mohamed Kamal 29 Kilbas, Anatoliĭ Aleksandrovich 24 Agarwal, Praveen 24 Sooppy Nisar, Kottakkaran 22 Saigo, Megumi 22 Saxena, Ram Kishore 21 Repin, Oleg Aleksandrovich 20 Abdeljawad, Thabet 20 Băleanu, Dumitru I. 19 Raina, Ravinder Krishna 18 Suthar, Daya Lal 17 Cho, Nak Eun 14 Mostafa, Adela Osman 14 Seoudy, Tamer Mohamed 11 Mainardi, Francesco 10 Noor, Khalida Inayat 10 Purohit, Sunil Dutt 10 Tomovski, Živorad 10 Zayed, Hanaa Mousa 9 Chu, Yuming 9 Ghanim, Firas 9 Haubold, Hans Joachim 9 Polito, Federico 8 Darus, Maslina 8 Mathai, Arakaparampli Mathai 8 Rahman, Gauhar 8 Rogosin, Sergei V. 8 Sokół, Janusz 8 Tarasenko, Anna Valer’evna 8 Trujillo, Juan J. 7 Bulboacă, Teodor 7 Choi, Junesang 7 Fernandez, Arran 7 Jain, Shilpi 7 Kemppainen, Jukka T. 7 Kumykova, Svetlana Kanshubievna 7 Mubeen, Shahid 7 Parmar, Rakesh Kumar 7 Shukla, Ajay Kumar 6 Agarwal, Ritu 6 Ibrahim, Rabha Waell 6 Kalla, Shyam Lal 6 Karp, Dmitriĭ Borisovich 6 Kumar, Dinesh 6 Luo, Minjie 6 Mehrez, Khaled 6 Prajapat, Jugal Kishore 6 Prasad, Akhilesh 6 Swaminathan, Anbhu 6 Wang, Miaokun 5 Al-Omari, Shrideh Khalaf Qasem 5 Amsalu, Hafte 5 Chen, Yangquan 5 Dziok, Jacek 5 Garrappa, Roberto 5 Kiliçman, Adem 5 Kiryakova, Virginia S. 5 Nieto Roig, Juan Jose 5 Owa, Shigeyoshi 5 Patel, Jagannath 5 Pogány, Tibor K. 5 Prilepkina, Elena Gumarovna 5 Sandev, Trifce 5 Tarasov, Vasily E. 5 Vieira, Nelson 4 Bahaa, Gaber Mohamed 4 Chand, Mehar 4 Chinchane, Vaijanath Laxmanrao 4 de Oliveira, Edmundo Capelas 4 El-Ashwah, Rabha Mohamed 4 Farid, Ghulam 4 Ferreira, Milton 4 Gaboury, Sébastien 4 Garra, Roberto 4 Giusti, Andrea 4 Glaeske, Hans-Jürgen 4 Gorenflo, Rudolf 4 Jana, Ranjan Kumar 4 Jiang, Yueping 4 Kataria, Kuldeep Kumar 4 Khan, Nabiullah U. 4 Kumar, Devendra 4 Kwon, Ohsang 4 Li, Chengkuan 4 Liu, Fawang 4 Mondal, Saiful Rahman 4 Nguyen Xuan Thao 4 Rodrigues, Maria Manuela 4 Singh, Jagdev 4 Vellaisamy, Palaniappan 4 Vu Kim Tuan 4 Yakubovich, Semyon B. 3 Abdulnaby, Zainab E. 3 Adwan, Eman Ahmed 3 Agarwal, Ravi P. 3 Ansari, Alireza 3 Arias, Mariano R. 3 Arlanova, Ekaterina Yur’evna 3 Benitez, Rafael ...and 699 more Authors all top 5 Cited in 209 Serials 52 Integral Transforms and Special Functions 37 Applied Mathematics and Computation 32 Fractional Calculus & Applied Analysis 28 Journal of Mathematical Analysis and Applications 24 Computers & Mathematics with Applications 24 Journal of Inequalities and Applications 23 Advances in Difference Equations 22 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. 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