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Integral Transforms and Special Functions

An International Journal

Short Title: Integral Transforms Spec. Funct.
Publisher: Taylor & Francis, Abingdon, Oxfordshire
ISSN: 1065-2469; 1476-8291/e
Online: http://www.tandfonline.com/loi/gitr20
Comments: Journal; Indexed cover-to-cover
Documents Indexed: 1,890 Publications (since 1993)
References Indexed: 1,753 Publications with 28,280 References.
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Latest Issues

35, No. 4 (2024)
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...and 157 more Volumes
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Authors

80 Srivastava, Hari Mohan
44 Yakubovich, Semyon B.
36 Brychkov, Yury A.
26 Conway, John Thomas
24 Vu Kim Tuan
23 Fisher, Brian
22 Pilipović, Stevan
20 Kilbas, Anatoliĭ Aleksandrovich
19 Trimèche, Khalifa
18 Dattoli, Giuseppe
17 Kalla, Shyam Lal
17 Marcellán Español, Francisco
17 Moiseev, Evgeniĭ Ivanovich
17 Pogány, Tibor K.
17 Ricci, Paolo Emilio
16 Chung, Hyun Soo
16 Laurinčikas, Antanas
15 Chu, Wenchang
15 Mejjaoli, Hatem
14 Chang, Seung Jun
13 Choi, Junesang
13 Chung, Soon-Yeong
13 López, José Luis
13 Qi, Feng
13 Saigo, Megumi
13 Savischenko, Nikolay V.
12 Debnath, Lokenath
12 Nguyen Xuan Thao
12 Soltani, Fethi
11 Ansari, Alireza
11 Kim, Dohan
11 Neuman, Edward
11 Pathak, Ram Shankar
11 Samko, Stefan Grigor’evich
11 Stanković, Miomir S.
11 Tričković, Slobodan B.
10 Chen, Chaoping
10 Daher, Radouan
10 Durán, Antonio José
10 González, Benito Juan
10 Prasad, Akhilesh
10 Saxena, Ram Kishore
9 Ben Salem, Nejib
9 Bouzeffour, Fethi
9 Masjed-Jamei, Mohammad
9 Roopkumar, Rajakumar
9 Sofo, Anthony
9 Trione, Susana Elena
8 Area, Iván
8 Atia, Mohamed Jalel
8 Bezrodnykh, Sergeĭ I.
8 Guliyev, Vagif Sabir
8 Khan, Subuhi
8 Kierat, Władysław
8 Mikusiński, Piotr
8 Negrin, Emilio R.
8 Raina, Ravinder Krishna
8 Wang, Xiaoxia
7 Assal, Miloud
7 Dragomir, Sever Silvestru
7 Godoy, Eduardo Paciência
7 Guo, Victor J. W.
7 Kamiński, Andrzej
7 Kiliçman, Adem
7 Kim, Young Sik
7 Koepf, Wolfram A.
7 Nadarajah, Saralees
7 Nogin, Vladimir Aleksandrovich
7 Paris, Richard Bruce
7 Rathie, Arjun Kumar
7 Skórnik, Krystyna A.
7 Wei, Chuanan
7 Zayed, Ahmed I.
6 Banerji, Pradeep Kumar
6 Campos, L. M. B. C.
6 Cesarano, Clemente
6 Ciaurri, Óscar
6 Fejzullahu, Bujar Xh.
6 Ferreira, Chelo
6 Karp, Dmitriĭ Borisovich
6 Karunakaran, V.
6 Lee, Il-Yong
6 Li, Aijuan
6 Maroni, Pascal
6 Nguyen Thanh Hong
6 Pérez Sinusía, Ester
6 Qin, Huizeng
6 Sghaier, Mabrouk
6 Vidanović, Mirjana V.
5 Barry, Paul
5 Buchkovska, Aneta L.
5 Cachafeiro, Alicia
5 Chung, Jaeyoung
5 Doha, Eid H.
5 Ekincioglu, Ismail
5 Fitouhi, Ahmed
5 Gaboury, Sébastien
5 Ghanmi, Allal
5 Glaeske, Hans-Jürgen
5 Glasser, M. Lawrence
...and 1,493 more Authors
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Fields

970 Special functions (33-XX)
459 Integral transforms, operational calculus (44-XX)
452 Harmonic analysis on Euclidean spaces (42-XX)
350 Functional analysis (46-XX)
247 Real functions (26-XX)
199 Number theory (11-XX)
179 Functions of a complex variable (30-XX)
169 Partial differential equations (35-XX)
143 Operator theory (47-XX)
115 Ordinary differential equations (34-XX)
80 Integral equations (45-XX)
71 Numerical analysis (65-XX)
70 Abstract harmonic analysis (43-XX)
69 Approximations and expansions (41-XX)
66 Combinatorics (05-XX)
55 Probability theory and stochastic processes (60-XX)
43 Sequences, series, summability (40-XX)
38 Measure and integration (28-XX)
35 Potential theory (31-XX)
26 Difference and functional equations (39-XX)
24 Several complex variables and analytic spaces (32-XX)
23 Information and communication theory, circuits (94-XX)
22 Quantum theory (81-XX)
16 Topological groups, Lie groups (22-XX)
16 Statistics (62-XX)
12 Linear and multilinear algebra; matrix theory (15-XX)
10 Field theory and polynomials (12-XX)
10 Mechanics of particles and systems (70-XX)
8 General and overarching topics; collections (00-XX)
7 Group theory and generalizations (20-XX)
7 Optics, electromagnetic theory (78-XX)
6 Global analysis, analysis on manifolds (58-XX)
5 Geometry (51-XX)
5 Computer science (68-XX)
4 Algebraic geometry (14-XX)
4 Nonassociative rings and algebras (17-XX)
4 Dynamical systems and ergodic theory (37-XX)
4 Differential geometry (53-XX)
4 Biology and other natural sciences (92-XX)
3 History and biography (01-XX)
3 Associative rings and algebras (16-XX)
2 Commutative algebra (13-XX)
2 General topology (54-XX)
2 Manifolds and cell complexes (57-XX)
2 Mechanics of deformable solids (74-XX)
2 Fluid mechanics (76-XX)
2 Classical thermodynamics, heat transfer (80-XX)
2 Statistical mechanics, structure of matter (82-XX)
2 Relativity and gravitational theory (83-XX)
2 Astronomy and astrophysics (85-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 Systems theory; control (93-XX)
1 Mathematical logic and foundations (03-XX)
1 Category theory; homological algebra (18-XX)
1 Convex and discrete geometry (52-XX)
1 Geophysics (86-XX)
1 Operations research, mathematical programming (90-XX)

Publications by Year

Citations contained in zbMATH Open

1,414 Publications have been cited 10,706 times in 7,194 Documents Cited by Year
Integration and differentiation to a variable fractional order. Zbl 0820.26003
Samko, Stefan G.; Ross, Bertram
226
1993
Generalized Mittag-Leffler function and generalized fractional calculus operators. Zbl 1047.33011
Kilbas, Anatoly A.; Saigo, Megumi; Saxena, R. K.
194
2004
On a progress in the theory of Lebesgue spaces with variable exponent: maximal and singular operators. Zbl 1069.47056
Samko, S.
174
2005
Fractional and operational calculus with generalized fractional derivative operators and Mittag-Leffler type functions. Zbl 1213.26011
Tomovski, Živorad; Hilfer, Rudolf; Srivastava, H. M.
141
2010
Completely monotonic functions. Zbl 1035.26012
Miller, K. S.; Samko, S. G.
140
2001
Certain subclasses of analytic functions associated with the generalized hypergeometric function. Zbl 1040.30003
Dziok, J.; Srivastava, H. M.
120
2003
Paley-Wiener theorems for the Dunkl transform and Dunkl translation operators. Zbl 1030.44004
Trimèche, Khalifa
109
2002
An integral operator associated with the Hurwitz-Lerch zeta function and differential subordination. Zbl 1112.30007
Srivastava, H. M.; Attiya, A. A.
77
2007
Linear operators associated with \(k\)-uniformly convex functions. Zbl 0959.30007
Kanas, S.; Srivastava, H. M.
74
2000
Some relationships between the generalized Apostol-Bernoulli polynomials and Hurwitz-Lerch zeta functions. Zbl 1184.11005
Garg, Mridula; Jain, Kumkum; Srivastava, H. M.
66
2006
Products of differentiation, composition and multiplication from Bergman type spaces to Bers type spaces. Zbl 1119.47035
Zhu, Xiangling
63
2007
Convolution type operators in \(L^{p(x)}\). Zbl 0934.46032
Samko, Stefan G.
60
1998
Symmetric Laguerre-Hahn forms of class \(s=1\). Zbl 0865.42021
Alaya, J.; Maroni, P.
60
1996
Integral and computational representations of the extended Hurwitz-Lerch zeta function. Zbl 1242.11065
Srivastava, H. M.; Saxena, Ram K.; Pogány, Tibor K.; Saxena, Ravi
58
2011
Integral transforms connected with discontinuous boundary value problems. Zbl 0989.34015
Yurko, V.
56
2000
The multiplication formulas for the Apostol-Bernoulli and Apostol-Euler polynomials of higher order. Zbl 1237.11009
Luo, Qiu-Ming
55
2009
\(P,Q\)-differentiation, \(P,Q\)-integration, and \(P,Q\)-hypergeometric functions related to quantum groups. Zbl 0823.33010
Burban, Ivan M.; Klimyk, Anatoli U.
53
1994
Computation of the generalized Mittag-Leffler function and its inverse in the complex plane. Zbl 1096.65024
Hilfer, R.; Seybold, H. J.
53
2006
Some expansion formulas for a class of generalized Hurwitz-Lerch zeta functions. Zbl 1172.11026
Lin, Shy-Der; Srivastava, H. M.; Wang, Pin-Yu
52
2006
Starlikeness and convexity of generalized Bessel functions. Zbl 1205.30010
Baricz, Árpád; Ponnusamy, Saminathan
52
2010
Convolution and potential type operators in \(L^{p(x)} (\mathbb{R}^n)\). Zbl 1023.31009
Samko, Stefan G.
50
1998
The Dunkl intertwining operator on spaces of functions and distributions and integral representation of its dual. Zbl 1027.47027
Trimèche, Khalifa
48
2001
Inversion theorems for potential-type integral transforms in \(\mathbb{R}^n\) and on \(S^{n-1}\). Zbl 0924.44003
Samko, Stefan G.
45
1993
Multiple orthogonal polynomials associated with Macdonald functions. Zbl 0959.42016
Van Assche, W.; Yakubovich, S. B.
45
2000
On the generalized Mittag-Leffler type functions. Zbl 0935.33012
Gorenflo, R.; Kilbas, A. A.; Rogosin, S. V.
45
1998
Fractional Fourier transform of generalized functions. Zbl 0941.46021
Zayed, Ahmed I.
45
1998
Hadamard-type integrals as \(G\)-transforms. Zbl 1043.26004
Kilbas, Anatoly A.; Trujillo, Juan J.
45
2003
A generalization of the Hurwitz-Lerch zeta function. Zbl 1145.11068
Choi, Junesang; Jang, Douk Soo; Srivastava, H. M.
44
2008
Hölder mean inequalities for the complete elliptic integrals. Zbl 1258.33011
Chu, Yu-Ming; Qiu, Ye-Fang; Wang, Miao-Kun
44
2012
On Mittag-Leffler type function, fractional calculus operators and solutions of integral equations. Zbl 0876.26007
Kilbas, Anatoly A.; Saigo, Megumi
44
1996
Generalizations of classical summation theorems for the series \(_{2} F_{1}\) and \(_{3} F_{2}\) with applications. Zbl 1241.33006
Rakha, Medhat A.; Rathie, Arjun K.
42
2011
Spherical Faraday cage for the case of equal point charges and Chebyshev- type quadrature on the sphere. Zbl 0823.41026
Korevaar, J.; Meyers, J. L. H.
40
1993
Integral type operators from mixed-norm spaces to \(\alpha\)-Bloch spaces. Zbl 1131.47031
Li, Songxiao; Stević, Stevo
40
2007
A weighted and exponential generalization of Wilker’s inequality and its applications. Zbl 1128.26017
Wu, Shan-He; Srivastava, H. M.
40
2007
The Lagrange polynomials in several variables. Zbl 1057.33003
Chan, W.-Ch. C.; Chyan, Ch.-J.; Srivastava, H. M.
39
2001
Some families of Genocchi type polynomials and their interpolation functions. Zbl 1253.05021
Srivastava, H. M.; Kurt, Burak; Simsek, Yilmaz
39
2012
On the Hermite-Hadamard-type inequalities for co-ordinated convex function via fractional integrals. Zbl 1284.26008
Sarıkaya, Mehmet Zeki
39
2014
A self-contained approach to Mellin transform analysis for square integrable functions. Applications. Zbl 0961.44005
Butzer, Paul L.; Jansche, Stefan
38
1999
The incomplete Pochhammer symbols and their applications to hypergeometric and related functions. Zbl 1254.33004
Srivastava, H. M.; Chaudhry, M. Aslam; Agarwal, Ravi P.
37
2012
Generalized Fourier-Feynman transforms and a first variation on function space. Zbl 1043.28014
Chang, Seung Jun; Skoug, David
36
2003
Three finite classes of hypergeometric orthogonal polynomials and their application in functions approximation. Zbl 1017.33005
Masjed-Jamei, Mohammad
35
2002
Multivariate analogue of generalized Mittag-Leffler function. Zbl 1275.33030
Saxena, R. K.; Kalla, S. L.; Saxena, Ravi
32
2011
Generalized fractional integration of Bessel function of the first kind. Zbl 1156.26004
Kilbas, Anatoly A.; Sebastian, Nicy
32
2008
A new class of analytic functions defined by means of a convolution operator involving the Hurwitz-Lerch zeta function. Zbl 1130.30003
Răducanu, Dorina; Srivastava, H. M.
32
2007
Some results on a generalized hypergeometric function. Zbl 1026.33006
Virchenko, N.; Kalla, S. L.; Al-Zamel, A.
32
2001
On some operators involving Hadamard derivatives. Zbl 1282.33032
Garra, Roberto; Polito, Federico
32
2013
On some formulas for the Appell function \(F_{2}(a, b, b^\prime; c, c^\prime; w; z)\). Zbl 1282.33020
Brychkov, Yu. A.; Saad, Nasser
32
2014
Three classes of logarithmically completely monotonic functions involving gamma and psi functions. Zbl 1144.26013
Qi, Feng
31
2007
Dunkl-Appell \(d\)-orthogonal polynomials. Zbl 1137.42005
Ben Cheikh, Y.; Gaied, M.
31
2007
Certain geometric properties of the Wright function. Zbl 1306.30006
Prajapat, J. K.
31
2015
On a mean value property associated with the Dunkl Laplacian operator and applications. Zbl 1027.47026
Mejjaoli, H.; Trimèche, K.
31
2001
Harmonic number identities via hypergeometric series and Bell polynomials. Zbl 1269.33006
Liu, Hongmei; Wang, Weiping
30
2012
Some properties of functions related to the gamma and psi functions. Zbl 1188.33003
Chen, Chao-Ping; Qi, Feng; Srivastava, H. M.
30
2010
The relation between variable Bessel potential spaces and Triebel–Lizorkin spaces. Zbl 1160.46024
Xu, J. S.
30
2008
Operational formulae for the complex Hermite polynomials \(H_{p,q}(z,\bar{z})\). Zbl 1284.33007
Ghanmi, Allal
30
2013
Hankel-type integral transforms and their fractionalization: a note. Zbl 1145.44002
Torre, A.
29
2008
Subordinations for multivalent analytic functions associated with the Dziok-Srivastava operator. Zbl 1170.30006
Srivastava, H. M.; Yang, Ding-Gong; Xu, N-Eng
29
2009
Heisenberg-type inequalities for the Weinstein operator. Zbl 1322.42012
Ben Salem, Néjib; Nasr, Amgad Rashed
29
2015
Some formulas for the Appell function \(F_1(a,b,b';c;w,z)\). Zbl 1257.33028
Brychkov, Yu. A.; Saad, Nasser
29
2012
On Mellin convolution operators: a direct approach to the asymptotic formulae. Zbl 1285.41007
Bardaro, Carlo; Mantellini, Ilaria
29
2014
Boundary value problems to first-order complex partial differential equations in a ring domain. Zbl 1174.30047
Vaitekhovich, T. S.
28
2008
Continuous and discrete inversion formulas for the Stockwell transform. Zbl 1136.42012
Du, Jingde; Wong, M. W.; Zhu, Hongmei
27
2007
Upper bound on \(\sqrt x J_{\nu }(x)\) and its applications. Zbl 1105.33007
Olenko, A. Ya.
27
2006
Operational method for solving generalized Abel integral equation of second kind. Zbl 0887.44003
Gorenflo, Rudolf; Luchko, Yuri
27
1997
Higher order recurrence relation for exceptional Charlier, Meixner, Hermite and Laguerre orthogonal polynomials. Zbl 1314.42027
Durán, Antonio J.
27
2015
A further refinement of Wilker’s inequality. Zbl 1176.11008
Wu, Shan-He; Srivastava, H. M.
27
2008
An invariant \(p\)-adic integral associated with Daehee numbers. Zbl 1016.11008
Kim, Taekyun
27
2002
Integral representations in complex, hypercomplex and Clifford analysis. Zbl 1054.30047
Begehr, Heinrich
27
2002
Some congruences related to a congruence of Van Hamme. Zbl 1434.11054
Guo, Victor J. W.; Liu, Ji-Cai
27
2020
Hypergeometric functions in the parabolic starlike and uniformly convex domains. Zbl 1198.30013
Srivastava, H. M.; Murugusundaramoorthy, G.; Sivasubramanian, S.
26
2007
Classical orthogonal polynomials with weight function \(((ax+b)^2+(cx+d)^2)^{-p}\exp(q\text{\,Arctg}((ax+b)/(cs+d)))\), \(x\in(-\infty,\infty)\) and a generalization of \(T\) and \(F\) distributions. Zbl 1055.33009
Masjed Jamei, Mohammad
26
2004
Some generalizations of a supercongruence of van Hamme. Zbl 1379.33013
Guo, Victor J. W.
26
2017
Time-frequency concentration of the windowed Hankel transform. Zbl 1293.42005
Ghobber, Saifallah; Omri, Slim
26
2014
\(p\)-adic \(q\)-integrals associated with the Changhee-Barnes’ \(q\)-Bernoulli polynomials. Zbl 1135.11340
Kim, Taekyun
25
2004
A unified presentation of some families of multivariable polynomials. Zbl 1098.33016
Erkuş, Esra; Srivastava, H. M.
25
2006
A class of self-similar stochastic processes with stationary increments to model anomalous diffusion in physics. Zbl 1173.26005
Mura, Antonio; Mainardi, Francesco
25
2009
On pointwise convergence of linear integral operators with homogeneous kernels. Zbl 1156.41006
Bardaro, Carlo; Vinti, Gianluca; Karsli, Harun
25
2008
Differential sandwich theorems for certain subclasses of analytic functions involving multiplier transformations. Zbl 1104.30015
Shanmugam, T. N.; Sivasubramanian, S.; Srivastava, H. M.
24
2006
A class of nonlinear integral operators preserving subordination and superordination. Zbl 1109.30022
Cho, Nak Eun; Srivastava, H. M.
24
2007
On Mittag-Leffler type function and applications. Zbl 0933.26001
Saigo, Megumi; Kilbas, Anatoly A.
24
1998
Asymptotics for a variant of the Mittag-Leffler function. Zbl 1257.33050
Gerhold, Stefan
24
2012
An algebraic approach to Sheffer polynomial sequences. Zbl 1345.11020
Costabile, Francesco Aldo; Longo, Elisabetta
24
2014
The discrete universality of the periodic Hurwitz zeta function. Zbl 1245.11099
Laurinčikas, A.; Macaitienė, R.
23
2009
Integral representation of Mathieu \((a,\lambda)\)-series. Zbl 1101.26018
Pogány, Tibor K.
23
2005
A new integral transform and associated distributions. Zbl 1191.35017
Eltayeb, Hassan; Kılıçman, Adem; Fisher, Brian
21
2010
Waves in viscoelastic media described by a linear fractional model. Zbl 1225.26009
Konjik, Sanja; Oparnica, Ljubica; Zorica, Dusan
21
2011
Some inclusion properties for certain subclasses of strongly starlike and strongly convex functions involving a family of fractional integral operators. Zbl 1142.26005
Prajapat, J. K.; Raina, R. K.; Srivastava, H. M.
21
2007
Two logarithmically completely monotonic functions connected with gamma function. Zbl 1093.33001
Qi, Feng; Yang, Qiao; Li, Wei
21
2006
A generic polynomial solution for the differential equation of hypergeometric type and six sequences of orthogonal polynomials related to it. Zbl 1099.33007
Koepf, Wolfram; Masjed-Jamei, Mohammad
21
2006
A Lagrangian method for deriving new indefinite integrals of special functions. Zbl 1372.70046
Conway, John T.
21
2015
On some formulas for the Appell function \(F_{3}(a,a',b,b';c;w,z)\). Zbl 1331.33030
Brychkov, Yu. A.; Saad, Nasser
21
2015
Orthogonal polynomials and generalized oscillator algebras. Zbl 1026.33007
Borzov, V. V.
21
2001
Karlsson-Minton summation theorems for the generalized hypergeometric series of unit argument. Zbl 1200.33007
Miller, Allen R.; Srivastava, H. M.
21
2010
Boundedness of commutators of fractional integral operators on mixed Morrey spaces. Zbl 1422.42029
Nogayama, Toru
21
2019
One- and two-sided inequalities for Jacobian elliptic functions and related results. Zbl 1193.33234
Neuman, Edward
20
2010
On the solution of some distributional differential equations: Existence and characterizations of the classical moment functionals. Zbl 0832.33006
Marcellán, F.; Petronilho, J.
20
1994
Remarks on nonlinear operations on modulation spaces. Zbl 1221.44007
Sugimoto, Mitsuru; Tomita, Naohito; Wang, Baoxiang
20
2011
Further results on a generalized gamma function occurring in diffraction theory. Zbl 0922.33001
Al-Musallam, F.; Kalla, S. L.
20
1998
New \(L^p\)-boundedness properties for the Kontorovich-Lebedev and Mehler-Fock transforms. Zbl 1360.44005
Srivastava, H. M.; González, B. J.; Negrín, E. R.
20
2016
Some evaluation of harmonic number sums. Zbl 1402.11114
Xu, Ce; Zhang, Mingyu; Zhu, Weixia
20
2016
Weighted integrability of Fourier-Jacobi transforms. Zbl 1525.44004
Volosivets, S. S.
2
2023
On some relations between hyper Bessel-Clifford, Macdonald and Meijer functions and hyper Hankel-Clifford integral transforms. Zbl 07726281
Shilin, I. A.; Choi, Junesang
2
2023
Generalization of Titchmarsh’s theorems for the Minkowski algebra. Zbl 1504.42023
El Haoui, Youssef; Zayed, Mohra
2
2023
Inequalities related to spherical harmonics associated with the Weinstein operator. Zbl 1527.33010
Salem, Néjib Ben
2
2023
Applications of Caputo operators in the evaluation of Clebsch-Gordan-type multiple elliptic integrals. Zbl 07683294
Campbell, J. M.
2
2023
Binomial identities obtained from the Gegenbauer series expansion. Zbl 07765877
Kouba, Omran
1
2023
Shannon, Sobolev and uncertainty inequalities for the Weinstein transform. Zbl 1518.42016
Ben Salem, Néjib
1
2023
Inversion formulae for a Lambert-type transform and the Salem’s equivalence to the Riemann hypothesis. Zbl 1528.44002
González, B. J.; Negrín, E. R.
1
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Inversion formula and uncertainty inequalities for the Weinstein-type Segal-Bargmann transform. Zbl 07714102
Soltani, Fethi; Saadi, Hanen
1
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Young inequalities for a Fourier cosine and sine polyconvolution and a generalized convolution. Zbl 07719595
Tuan, Trinh; Tuan, Vu Kim
1
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Calderón’s reproducing formulas for the poly-axially \(L_{\alpha}^2\)-multiplier operators. Zbl 07726280
Selmi, Belgacem; Chbeb, Rahma
1
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On the characterizations of third-degree semiclassical forms via polynomial mappings. Zbl 1527.33005
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1
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Karp, D. B.; Prilepkina, E. G.
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Operational rules and \(d\)-orthogonal polynomials of Laguerre type. Zbl 07671547
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1
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1
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On some formulas for the confluent Horn functions \(H_3^{(c)}\, (a, b, c; d; w, z)\), \(H_4^{(c)}\, (a, c; d; w, z)\) and \(H_9^{(c)}\, (a, b; c; w, z)\). Zbl 07683288
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1
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Expressing Hilbert and Riesz transforms in terms of wavelet transforms. Zbl 1512.42054
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1
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A new product formula involving Bessel functions. Zbl 1515.33008
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14
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Fourier-Bessel transforms and generalized uniform Lipschitz classes. Zbl 1501.44005
Volosivets, S. S.
12
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On some formulas for the Horn functions \(H_6(a, b, b^\prime w, z)\) and \(H_8^{(c)}(a, b;w, z)\). Zbl 1517.33005
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7
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5
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Analytic continuation of Lauricella’s function \(F_D^{(N)}\) for variables close to unit near hyperplanes \(\{z_j = z_{l}\}\). Zbl 1509.33013
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5
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5
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Integrability of the Fourier-Jacobi transform of functions satisfying Lipschitz and Dini-Lipschitz-type estimates. Zbl 1490.33003
Daher, Radouan; Tyr, Othman
5
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Symbolic computations via Fourier-Legendre expansions and fractional operators. Zbl 1501.33003
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5
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Analytic continuation of Lauricella’s function \(F_D^{(N)}\) for large in modulo variables near hyperplanes \(\{z_j = z_l\}\). Zbl 1509.33012
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5
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On the fractional Bessel operator. Zbl 07493955
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4
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On the extension of the coupled fractional Fourier transform and its properties. Zbl 1489.42006
Kamalakkannan, R.; Roopkumar, R.; Zayed, A.
3
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A general class of integral transforms and an expression for their convolution formulas. Zbl 1497.44004
Futcher, Thomas; Rodrigo, Marianito R.
3
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Mikusiński’s operational calculus for Prabhakar fractional calculus. Zbl 1516.26003
Rani, Noosheza; Fernandez, Arran
3
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Quadratic-phase Fourier transform of tempered distributions and pseudo-differential operators. Zbl 1501.46039
Kumar, Manish; Pradhan, Tusharakanta
2
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A new asymptotic representation and inversion method for the Student’s \(t\) distribution. Zbl 07566915
Gil, A.; Segura, J.; Temme, N. M.
2
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On the theory of orthogonal polynomials for the weight \(x^\nu \exp (-x - t/x)\). I. Zbl 1527.33002
Yakubovich, S.
2
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2
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Remark on a Mittag-Leffler function of Le Roy type. Zbl 1505.33011
Simon, Thomas
2
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Indefinite integrals from Wronskians and related linear second-order differential equations. Zbl 1496.34058
Conway, John T.
1
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Some properties relating to the Mittag-Leffler function of two variables. Zbl 1490.33008
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1
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Analogues of Beurling’s theorem for some integral transforms. Zbl 1492.42004
Debnath, Santanu; Sen, Suparna
1
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Infinite series involving harmonic numbers of convergence rate 1/2. Zbl 1493.33004
Chu, Wenchang
1
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1
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On the theory of orthogonal polynomials for the weight \(x^\nu \exp (-x-t/x)\). II. Zbl 1521.33004
Yakubovich, S.
1
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Analytic continuation of the Kampé de Fériet function and the general double Horn series. Zbl 1522.33010
Bezrodnykh, S. I.
1
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Indefinite integrals involving the exponential integral function. Zbl 1494.34109
Conway, John T.
1
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Lie-type operational approach to modified 2D-Laguerre polynomials. Zbl 1504.33007
Bin-Saad, Maged G.; Shahwan, Mohannad J. S.
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The Fourier transform of a function related to cylinder functions and asymptotic expansions with logarithmic terms. Zbl 1485.42007
Gorenflo, Norbert
1
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Some integral operators and their relation to multidimensional Fourier-Bessel transform on \(L_\alpha^2( \mathbb{R}_+^n)\) and applications. Zbl 07493951
Selmi, Belgacem; Allagui, Mohamed Ali
1
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Relations for a class of terminating \(_4F_3(4)\) hypergeometric series. Zbl 1508.33006
Mishev, Ilia D.
1
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Lebedev identities and integral representations of products of Hermite functions. Zbl 1497.33010
Ansari, Alireza; Askari, Hassan
1
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Lebedev-Skalskaya transforms and allied operators on certain function spaces. Zbl 1494.44006
Mandal, U. K.; Prasad, Akhilesh
1
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Harmonic analysis associated to the canonical Fourier Bessel transform. Zbl 1472.42007
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8
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Lebedev-Skalskaya transforms on certain function spaces and associated pseudo-differential operators. Zbl 1472.44002
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6
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Linear canonical wave packet transform. Zbl 1479.42019
Prasad, Akhilesh; Kundu, Manab
5
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On some formulas for the Horn functions \(H_3(a, b; c; w, z)\), \(H^{(c)}_6(a; c; w, z)\) and Humbert function \(\Phi_3(b; c; w, z)\). Zbl 1496.33011
Brychkov, Yu. A.; Savischenko, N. V.
5
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Fractional integrals with measure in grand Lebesgue and Morrey spaces. Zbl 07446711
Kokilashvili, Vakhtang; Meskhi, Alexander
5
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On some formulas for the Horn functions\(H_1(a,b,c;d;w,z)\) and \(H_1^{(c)}(a,b;d;w,z)\). Zbl 1467.33007
Brychkov, Yu. A.; Savischenko, N. V.
5
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Uncertainty principles for the Opdam-Cherednik transform on modulation spaces. Zbl 1484.44004
Poria, Anirudha
5
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A concavity property of generalized complete elliptic integrals. Zbl 1480.33007
Richards, Kendall C.; Smith, Jordan N.
5
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Fourier series for coherent pairs of Jacobi measures. Zbl 1473.42005
Ciaurri, Óscar; Mínguez Ceniceros, Judit
5
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Quantitative uncertainty principles associated with the directional short-time Fourier transform. Zbl 1489.43005
Mejjaoli, Hatem; Omri, Slim
4
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On the Hankel transform of functions from Nikol’ski type classes. Zbl 1495.44006
Platonov, S. S.
4
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Generalized Bessel potential and its application to non-homogeneous singular screened Poisson equation. Zbl 1501.47091
Shishkina, Elina; Ekincioğlu, Ismail; Keskin, Cansu
4
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On some formulas for the Horn function \(H_2 (a, b, c, c^{\prime}; d; w, z)\) and confluent Horn function \(H_2^{(c)} (a, b, c; d; w, z)\). Zbl 1482.33010
Brychkov, Yu. A.; Savischenko, N. V.
4
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A generalized sextic Freud weight. Zbl 1483.33005
Clarkson, Peter A.; Jordaan, Kerstin
4
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Uncertainty principles in linear canonical domains. Zbl 1462.42009
Lian, Pan
3
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Linear and nonlinear Bessel potentials associated with the poly-axially operator. Zbl 1476.46044
Selmi, Belgacem; Khelifi, Chahiba
3
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Voros coefficients of the Gauss hypergeometric differential equation with a large parameter. Zbl 1483.33003
Aoki, T.; Takahashi, T.; Tanda, M.
3
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Hyponormal Toeplitz operators on weighted Bergman spaces. Zbl 07405654
Le, Trieu; Simanek, Brian
3
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Symmetric differential operators for Sobolev orthogonal polynomials of Laguerre- and Jacobi-type. Zbl 1489.33009
Markett, Clemens
3
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Non-homogeneous wave equation on a cone. Zbl 1484.35141
Olver, Sheehan; Xu, Yuan
3
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A convolution-based special affine wavelet transform. Zbl 1483.65207
Shah, Firdous A.; Tantary, Azhar Y.; Zayed, Ahmed I.
2
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Lipschitz-Hankel identities and integral representations of toroidal functions. Zbl 1495.44004
Ansari, Alireza; Eshaghi, Shiva
2
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On some formulas for the Horn functions \(H_4 (a, b; c, c^{\prime};w,z)\) and \(H_7^{(c)} (a; c, c^{\prime};w,z)\). Zbl 1498.33012
Brychkov, Yu. A.; Savischenko, N. V.
2
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Indefinite integrals for some orthogonal polynomials obtained using integrating factors. Zbl 1468.34034
Conway, John T.
2
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Structure, boundedness, and convergence in the dual of a Hankel-\(K\{ M_p\}\) space. Zbl 1481.46033
Arteaga, Cristian; Marrero, Isabel
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Horn’s hypergeometric functions with three variables. Zbl 1482.33009
Bezrodnykh, S. I.
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Estimates of pseudo-differential operators associated with fractional Hankel transform on the space of type S. Zbl 1482.46046
Mahato, Kanailal; Pasawan, Durgesh
2
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Indefinite integrals involving Jacobi polynomials from integrating factors. Zbl 1484.34091
Conway, John T.
1
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Discrete Lebedev-Skalskaya transforms. Zbl 1491.44004
Yakubovich, S.
1
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On the properties of zeros of Bessel series in the real line. Zbl 1486.33007
Durán, Antonio J.; Pérez, Mario; Varona, Juan L.
1
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Localized fractional derivative of Djrbashian-Caputo type. Zbl 1485.26004
Grinko, A. P.
1
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The convolution product is for exponential kernels transforms. Composition is suggested for other transforms. Zbl 1464.94019
Jerri, A. J.
1
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On the Laguerre fractional integro-differentiation. Zbl 1476.44004
Yakubovich, S.
1
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A functional identity for Mahler measures of non-tempered polynomials. Zbl 1471.11264
Samart, Detchat
1
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On a second type Neumann series of modified Bessel functions of the first kind. Zbl 1469.33005
Maširević, Dragana Jankov; Pogány, Tibor K.
1
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On a new class of 2-orthogonal polynomials. I: The recurrence relations and some properties. Zbl 1467.33006
Douak, Khalfa; Maroni, Pascal
1
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Computing expansions coefficients for Laguerre polynomials. Zbl 1473.42028
Ahmed, H. M.
1
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Interlacing of zeros of Laguerre polynomials of equal and consecutive degree. Zbl 1491.33008
Arvesú, J.; Driver, K.; Littlejohn, L.
1
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Construction of modular function bases for \(\Gamma_0 (121)\) related to \(p(11n+6)\). Zbl 1470.11066
Hemmecke, Ralf; Paule, Peter; Radu, Cristian-Silviu
1
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Matrix hypergeometric functions, semi-classical orthogonal polynomials and quantum Painlevé equations. Zbl 1489.33011
Inamasu, Kouki; Kimura, Hironobu
1
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On matrix Cauchy biorthogonal polynomials. Zbl 1476.30139
Medina Peralta, S.
1
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Some congruences related to a congruence of Van Hamme. Zbl 1434.11054
Guo, Victor J. W.; Liu, Ji-Cai
27
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\(k\)-Hankel two-wavelet theory and localization operators. Zbl 1457.44001
Mejjaoli, Hatem; Trimèche, Khalifa
20
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Uncertainty principles for the continuous shearlet transforms in arbitrary space dimensions. Zbl 1451.42015
Bahri, Mawardi; Shah, Firdous A.; Tantary, Azhar Y.
15
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On some formulas for the Horn functions \(G_1(a,b,b';w,z)\) and \(\Gamma_2(b,b';w,z)\). Zbl 1466.33009
Brychkov, Yu. A.; Savischenko, N. V.
11
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Euler-like sums via powers of log, arctan and arctanh functions. Zbl 1469.11304
Sofo, Anthony; Nimbran, Amrik Singh
11
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Multidimensional fractional Fourier transform and generalized fractional convolution. Zbl 1431.42010
Kamalakkannan, R.; Roopkumar, R.
10
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Analytic continuation of the Horn hypergeometric series with an arbitrary number of variables. Zbl 1466.33007
Bezrodnykh, S. I.
10
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Multilinear Hausdorff operator on variable exponent Morrey-Herz type spaces. Zbl 1427.42025
Chuong, Nguyen Minh; Duong, Dao Van; Dung, Kieu Huu
8
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Hardy-Littlewood-Sobolev type inequalities associated with the Weinstein operator. Zbl 1427.42029
Salem, Néjib Ben
7
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A concavity property of the complete elliptic integral of the first kind. Zbl 1447.26013
Alzer, Horst; Richards, Kendall C.
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30 Yang, Zhenhang
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111 Fractional Calculus & Applied Analysis
102 Abstract and Applied Analysis
92 Journal of Pseudo-Differential Operators and Applications
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46 Turkish Journal of Mathematics
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