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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: 1,935 Publications (since 1993)
References Indexed: 1,796 Publications with 29,295 References.
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...and 166 more Volumes
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Authors

80 Srivastava, Hari Mohan
44 Yakubovich, Semyon B.
39 Brychkov, Yury A.
26 Conway, John Thomas
24 Vu Kim Tuan
23 Fisher, Brian
22 Pilipović, Stevan
20 Kilbas, Anatoliĭ Aleksandrovich
20 Trimèche, Khalifa
18 Dattoli, Giuseppe
17 Chu, Wenchang
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
16 Mejjaoli, Hatem
14 Chang, Seung Jun
14 Choi, Junesang
13 Chung, Soon-Yeong
13 López, José Luis
13 Qi, Feng
13 Saigo, Megumi
13 Savischenko, Nikolay V.
13 Soltani, Fethi
12 Debnath, Lokenath
12 Nguyen Xuan Thao
11 Ansari, Alireza
11 Daher, Radouan
11 Kim, Dohan
11 Neuman, Edward
11 Pathak, Ram Shankar
11 Prasad, Akhilesh
11 Samko, Stefan Grigor’evich
11 Stanković, Miomir S.
11 Tričković, Slobodan B.
10 Bouzeffour, Fethi
10 Chen, Chaoping
10 Durán, Antonio José
10 González, Benito Juan
10 Saxena, Ram Kishore
10 Sofo, Anthony
9 Ben Salem, Nejib
9 Bezrodnykh, Sergeĭ I.
9 Masjed-Jamei, Mohammad
9 Roopkumar, Rajakumar
9 Trione, Susana Elena
8 Area, Iván
8 Atia, Mohamed Jalel
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 Fejzullahu, Bujar Xh.
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 Nguyen Thanh Hong
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 Ben Romdhane, Neila
6 Campos, L. M. B. C.
6 Cesarano, Clemente
6 Ciaurri, Óscar
6 Ferreira, Chelo
6 Karp, Dmitriĭ Borisovich
6 Karunakaran, V.
6 Lee, Il-Yong
6 Li, Aijuan
6 Maroni, Pascal
6 Pérez Sinusía, Ester
6 Qin, Huizeng
6 Sghaier, Mabrouk
6 Upadhyay, Santosh Kumar
6 Vidanović, Mirjana V.
5 Barry, Paul
5 Buchkovska, Aneta L.
5 Cachafeiro, Alicia
5 Chaggara, Hamza
5 Chung, Jaeyoung
5 Doha, Eid H.
5 Ekincioglu, Ismail
5 Fitouhi, Ahmed
5 Gaboury, Sébastien
...and 1,540 more Authors
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Fields

994 Special functions (33-XX)
481 Integral transforms, operational calculus (44-XX)
475 Harmonic analysis on Euclidean spaces (42-XX)
358 Functional analysis (46-XX)
254 Real functions (26-XX)
202 Number theory (11-XX)
179 Functions of a complex variable (30-XX)
171 Partial differential equations (35-XX)
150 Operator theory (47-XX)
116 Ordinary differential equations (34-XX)
83 Integral equations (45-XX)
73 Abstract harmonic analysis (43-XX)
71 Numerical analysis (65-XX)
70 Approximations and expansions (41-XX)
67 Combinatorics (05-XX)
57 Probability theory and stochastic processes (60-XX)
47 Sequences, series, summability (40-XX)
39 Measure and integration (28-XX)
36 Potential theory (31-XX)
27 Difference and functional equations (39-XX)
25 Several complex variables and analytic spaces (32-XX)
25 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

1,484 Publications have been cited 11,964 times in 7,988 Documents Cited by Year
Integration and differentiation to a variable fractional order. Zbl 0820.26003
Samko, Stefan G.; Ross, Bertram
255
1993
Generalized Mittag-Leffler function and generalized fractional calculus operators. Zbl 1047.33011
Kilbas, Anatoly A.; Saigo, Megumi; Saxena, R. K.
231
2004
On a progress in the theory of Lebesgue spaces with variable exponent: maximal and singular operators. Zbl 1069.47056
Samko, S.
176
2005
Completely monotonic functions. Zbl 1035.26012
Miller, K. S.; Samko, S. G.
159
2001
Fractional and operational calculus with generalized fractional derivative operators and Mittag-Leffler type functions. Zbl 1213.26011
Tomovski, Živorad; Hilfer, Rudolf; Srivastava, H. M.
155
2010
Certain subclasses of analytic functions associated with the generalized hypergeometric function. Zbl 1040.30003
Dziok, J.; Srivastava, H. M.
123
2003
Paley-Wiener theorems for the Dunkl transform and Dunkl translation operators. Zbl 1030.44004
Trimèche, Khalifa
114
2002
An integral operator associated with the Hurwitz-Lerch zeta function and differential subordination. Zbl 1112.30007
Srivastava, H. M.; Attiya, A. A.
78
2007
Linear operators associated with \(k\)-uniformly convex functions. Zbl 0959.30007
Kanas, S.; Srivastava, H. M.
76
2000
Products of differentiation, composition and multiplication from Bergman type spaces to Bers type spaces. Zbl 1119.47035
Zhu, Xiangling
70
2007
Some relationships between the generalized Apostol-Bernoulli polynomials and Hurwitz-Lerch zeta functions. Zbl 1184.11005
Garg, Mridula; Jain, Kumkum; Srivastava, H. M.
67
2006
Convolution type operators in \(L^{p(x)}\). Zbl 0934.46032
Samko, Stefan G.
66
1998
Integral transforms connected with discontinuous boundary value problems. Zbl 0989.34015
Yurko, V.
63
2000
Symmetric Laguerre-Hahn forms of class \(s=1\). Zbl 0865.42021
Alaya, J.; Maroni, P.
63
1996
Starlikeness and convexity of generalized Bessel functions. Zbl 1205.30010
Baricz, Árpád; Ponnusamy, Saminathan
63
2010
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
59
2011
Computation of the generalized Mittag-Leffler function and its inverse in the complex plane. Zbl 1096.65024
Hilfer, R.; Seybold, H. J.
59
2006
\(P,Q\)-differentiation, \(P,Q\)-integration, and \(P,Q\)-hypergeometric functions related to quantum groups. Zbl 0823.33010
Burban, Ivan M.; Klimyk, Anatoli U.
58
1994
The multiplication formulas for the Apostol-Bernoulli and Apostol-Euler polynomials of higher order. Zbl 1237.11009
Luo, Qiu-Ming
57
2009
Fractional Fourier transform of generalized functions. Zbl 0941.46021
Zayed, Ahmed I.
54
1998
Some expansion formulas for a class of generalized Hurwitz-Lerch zeta functions. Zbl 1172.11026
Lin, Shy-Der; Srivastava, H. M.; Wang, Pin-Yu
54
2006
Hölder mean inequalities for the complete elliptic integrals. Zbl 1258.33011
Chu, Yu-Ming; Qiu, Ye-Fang; Wang, Miao-Kun
53
2012
The Dunkl intertwining operator on spaces of functions and distributions and integral representation of its dual. Zbl 1027.47027
Trimèche, Khalifa
53
2001
Convolution and potential type operators in \(L^{p(x)} (\mathbb{R}^n)\). Zbl 1023.31009
Samko, Stefan G.
50
1998
On the generalized Mittag-Leffler type functions. Zbl 0935.33012
Gorenflo, R.; Kilbas, A. A.; Rogosin, S. V.
49
1998
On Mittag-Leffler type function, fractional calculus operators and solutions of integral equations. Zbl 0876.26007
Kilbas, Anatoly A.; Saigo, Megumi
49
1996
A self-contained approach to Mellin transform analysis for square integrable functions. Applications. Zbl 0961.44005
Butzer, Paul L.; Jansche, Stefan
47
1999
Multiple orthogonal polynomials associated with Macdonald functions. Zbl 0959.42016
Van Assche, W.; Yakubovich, S. B.
47
2000
Hadamard-type integrals as \(G\)-transforms. Zbl 1043.26004
Kilbas, Anatoly A.; Trujillo, Juan J.
46
2003
Integral type operators from mixed-norm spaces to \(\alpha\)-Bloch spaces. Zbl 1131.47031
Li, Songxiao; Stević, Stevo
46
2007
On the Hermite-Hadamard-type inequalities for co-ordinated convex function via fractional integrals. Zbl 1284.26008
Sarıkaya, Mehmet Zeki
46
2014
Inversion theorems for potential-type integral transforms in \(\mathbb{R}^n\) and on \(S^{n-1}\). Zbl 0924.44003
Samko, Stefan G.
45
1993
A generalization of the Hurwitz-Lerch zeta function. Zbl 1145.11068
Choi, Junesang; Jang, Douk Soo; Srivastava, H. M.
45
2008
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.
44
2011
The incomplete Pochhammer symbols and their applications to hypergeometric and related functions. Zbl 1254.33004
Srivastava, H. M.; Chaudhry, M. Aslam; Agarwal, Ravi P.
44
2012
Three finite classes of hypergeometric orthogonal polynomials and their application in functions approximation. Zbl 1017.33005
Masjed-Jamei, Mohammad
44
2002
A weighted and exponential generalization of Wilker’s inequality and its applications. Zbl 1128.26017
Wu, Shan-He; Srivastava, H. M.
43
2007
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.
42
1993
Some families of Genocchi type polynomials and their interpolation functions. Zbl 1253.05021
Srivastava, H. M.; Kurt, Burak; Simsek, Yilmaz
41
2012
The Lagrange polynomials in several variables. Zbl 1057.33003
Chan, W.-Ch. C.; Chyan, Ch.-J.; Srivastava, H. M.
41
2001
Multivariate analogue of generalized Mittag-Leffler function. Zbl 1275.33030
Saxena, R. K.; Kalla, S. L.; Saxena, Ravi
40
2011
Generalized Fourier-Feynman transforms and a first variation on function space. Zbl 1043.28014
Chang, Seung Jun; Skoug, David
38
2003
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
38
2014
On a mean value property associated with the Dunkl Laplacian operator and applications. Zbl 1027.47026
Mejjaoli, H.; Trimèche, K.
37
2001
On some operators involving Hadamard derivatives. Zbl 1282.33032
Garra, Roberto; Polito, Federico
37
2013
Dunkl-Appell \(d\)-orthogonal polynomials. Zbl 1137.42005
Ben Cheikh, Y.; Gaied, M.
37
2007
Some results on a generalized hypergeometric function. Zbl 1026.33006
Virchenko, N.; Kalla, S. L.; Al-Zamel, A.
36
2001
Operational formulae for the complex Hermite polynomials \(H_{p,q}(z,\bar{z})\). Zbl 1284.33007
Ghanmi, Allal
36
2013
Heisenberg-type inequalities for the Weinstein operator. Zbl 1322.42012
Ben Salem, Néjib; Nasr, Amgad Rashed
35
2015
Certain geometric properties of the Wright function. Zbl 1306.30006
Prajapat, J. K.
35
2015
Hankel-type integral transforms and their fractionalization: a note. Zbl 1145.44002
Torre, A.
34
2008
Continuous and discrete inversion formulas for the Stockwell transform. Zbl 1136.42012
Du, Jingde; Wong, M. W.; Zhu, Hongmei
33
2007
A class of self-similar stochastic processes with stationary increments to model anomalous diffusion in physics. Zbl 1173.26005
Mura, Antonio; Mainardi, Francesco
33
2009
Generalized fractional integration of Bessel function of the first kind. Zbl 1156.26004
Kilbas, Anatoly A.; Sebastian, Nicy
33
2008
The relation between variable Bessel potential spaces and Triebel–Lizorkin spaces. Zbl 1160.46024
Xu, J. S.
33
2008
Some formulas for the Appell function \(F_1(a,b,b';c;w,z)\). Zbl 1257.33028
Brychkov, Yu. A.; Saad, Nasser
32
2012
Some properties of functions related to the gamma and psi functions. Zbl 1188.33003
Chen, Chao-Ping; Qi, Feng; Srivastava, H. M.
32
2010
Three classes of logarithmically completely monotonic functions involving gamma and psi functions. Zbl 1144.26013
Qi, Feng
32
2007
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
Asymptotics for a variant of the Mittag-Leffler function. Zbl 1257.33050
Gerhold, Stefan
31
2012
Harmonic number identities via hypergeometric series and Bell polynomials. Zbl 1269.33006
Liu, Hongmei; Wang, Weiping
30
2012
Subordinations for multivalent analytic functions associated with the Dziok-Srivastava operator. Zbl 1170.30006
Srivastava, H. M.; Yang, Ding-Gong; Xu, N-Eng
30
2009
Higher order recurrence relation for exceptional Charlier, Meixner, Hermite and Laguerre orthogonal polynomials. Zbl 1314.42027
Durán, Antonio J.
30
2015
On Mellin convolution operators: a direct approach to the asymptotic formulae. Zbl 1285.41007
Bardaro, Carlo; Mantellini, Ilaria
30
2014
Some congruences related to a congruence of Van Hamme. Zbl 1434.11054
Guo, Victor J. W.; Liu, Ji-Cai
30
2020
Time-frequency concentration of the windowed Hankel transform. Zbl 1293.42005
Ghobber, Saifallah; Omri, Slim
30
2014
A further refinement of Wilker’s inequality. Zbl 1176.11008
Wu, Shan-He; Srivastava, H. M.
29
2008
Hypergeometric functions in the parabolic starlike and uniformly convex domains. Zbl 1198.30013
Srivastava, H. M.; Murugusundaramoorthy, G.; Sivasubramanian, S.
28
2007
Upper bound on \(\sqrt x J_{\nu }(x)\) and its applications. Zbl 1105.33007
Olenko, A. Ya.
28
2006
A unified presentation of some families of multivariable polynomials. Zbl 1098.33016
Erkuş, Esra; Srivastava, H. M.
28
2006
Boundedness of commutators of fractional integral operators on mixed Morrey spaces. Zbl 1422.42029
Nogayama, Toru
28
2019
On pointwise convergence of linear integral operators with homogeneous kernels. Zbl 1156.41006
Bardaro, Carlo; Vinti, Gianluca; Karsli, Harun
28
2008
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
27
2004
Operational method for solving generalized Abel integral equation of second kind. Zbl 0887.44003
Gorenflo, Rudolf; Luchko, Yuri
27
1997
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
On Mittag-Leffler type function and applications. Zbl 0933.26001
Saigo, Megumi; Kilbas, Anatoly A.
26
1998
Some generalizations of a supercongruence of van Hamme. Zbl 1379.33013
Guo, Victor J. W.
26
2017
Boundary value problems to first-order complex partial differential equations in a ring domain. Zbl 1174.30047
Vaitekhovich, T. S.
26
2008
On the Wright hypergeometric matrix functions and their fractional calculus. Zbl 1405.15009
Bakhet, Ahmed; Jiao, Yong; He, Fuli
25
2019
\(p\)-adic \(q\)-integrals associated with the Changhee-Barnes’ \(q\)-Bernoulli polynomials. Zbl 1135.11340
Kim, Taekyun
25
2004
Differential sandwich theorems for certain subclasses of analytic functions involving multiplier transformations. Zbl 1104.30015
Shanmugam, T. N.; Sivasubramanian, S.; Srivastava, H. M.
25
2006
A class of nonlinear integral operators preserving subordination and superordination. Zbl 1109.30022
Cho, Nak Eun; Srivastava, H. M.
25
2007
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.
24
2016
A Mittag-Leffler-type function of two variables. Zbl 1292.33020
Garg, Mridula; Manohar, Pratibha; Kalla, S. L.
24
2013
The discrete universality of the periodic Hurwitz zeta function. Zbl 1245.11099
Laurinčikas, A.; Macaitienė, R.
24
2009
An algebraic approach to Sheffer polynomial sequences. Zbl 1345.11020
Costabile, Francesco Aldo; Longo, Elisabetta
24
2014
On some formulas for the Appell function \(F_{3}(a,a',b,b';c;w,z)\). Zbl 1331.33030
Brychkov, Yu. A.; Saad, Nasser
23
2015
Waves in viscoelastic media described by a linear fractional model. Zbl 1225.26009
Konjik, Sanja; Oparnica, Ljubica; Zorica, Dusan
23
2011
Analytical solution of space-time fractional telegraph-type equations involving Hilfer and Hadamard derivatives. Zbl 1337.26015
Saxena, Ram K.; Garra, Roberto; Orsingher, Enzo
23
2016
Two-dimensional fractional Fourier transform and some of its properties. Zbl 1393.42011
Zayed, Ahmed
23
2018
Integral representation of Mathieu \((a,\lambda)\)-series. Zbl 1101.26018
Pogány, Tibor K.
23
2005
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
23
2006
A general form of Heisenberg-Pauli-Weyl uncertainty inequality for the Dunkl transform. Zbl 1270.42011
Soltani, Fethi
23
2013
Some evaluation of harmonic number sums. Zbl 1402.11114
Xu, Ce; Zhang, Mingyu; Zhu, Weixia
22
2016
A Lagrangian method for deriving new indefinite integrals of special functions. Zbl 1372.70046
Conway, John T.
22
2015
Fractional Fourier transform in the framework of fractional calculus operators. Zbl 1205.42010
Kilbas, A. A.; Luchko, Yu. F.; Martínez, H.; Trujillo, J. J.
22
2010
The Mellin-Parseval formula and its interconnections with the exponential sampling theorem of optical physics. Zbl 1335.30008
Bardaro, Carlo; Butzer, Paul L.; Mantellini, Ilaria
22
2016
Two logarithmically completely monotonic functions connected with gamma function. Zbl 1093.33001
Qi, Feng; Yang, Qiao; Li, Wei
22
2006
On the solution of some distributional differential equations: Existence and characterizations of the classical moment functionals. Zbl 0832.33006
Marcellán, F.; Petronilho, J.
21
1994
Parseval-Goldstein type theorems for the index Whittaker transform. Zbl 07964899
Maan, Jeetendrasingh; Negrín, E. R.
1
2025
Linear canonical Fourier-Bessel wavelet transform: properties and inequalities. Zbl 1543.44003
Mohamed, H. B.; Saoudi, A.
2
2024
Quantitative uncertainty principles for the Gabor spherical mean transform. Zbl 07901559
Chettaoui, Chirine; Hassini, Amina; Trimèche, Khalifa
2
2024
Abelian and Tauberian results for the fractional Fourier and short-time Fourier transforms of distributions. Zbl 1533.46038
Atanasova, Sanja; Maksimović, Snježana; Pilipović, Stevan
1
2024
Generalization of the Ramanujan’s integrals for the Volterra \(\mu\)-functions via complex contours: representations and approximations. Zbl 1539.41032
Hashemzadeh Kalvari, Arman; Ansari, Alireza; Askari, Hassan
1
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Fractional Riesz-Feller type derivative for the one dimensional Dunkl operator and Lipschitz condition. Zbl 1541.26018
Bouzeffour, Fethi; Jedidi, Wissem
1
2024
Positivity of oscillatory integrals and Hankel transforms. Zbl 1546.44003
Cho, Yong-Kum; Chung, Seok-Young; Park, Young Woong
1
2024
Inequality for a modified Struve transform. Zbl 1532.42006
Negzaoui, Selma; Yousfi, Nesrin
1
2024
Fractional Stockwell transform of Lizorkin distributions. Zbl 1544.46036
Maksimović, Snježana
1
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On a higher-order version of a formula due to Ramanujan. Zbl 07816068
Campbell, J. M.
1
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The continuous fractional Bessel wavelet transform and its applications. Zbl 07901560
Upadhyay, S. K.; Mishra, Kush Kumar
1
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Generalization of Titchmarsh’s theorem for the modified Whittaker transform. Zbl 1529.44002
Soltani, Fethi; Aledawish, Saliha
6
2023
Weighted integrability of Fourier-Jacobi transforms. Zbl 1525.44004
Volosivets, S. S.
4
2023
Young inequalities for a Fourier cosine and sine polyconvolution and a generalized convolution. Zbl 1529.44004
Tuan, Trinh; Tuan, Vu Kim
4
2023
On the characterizations of third-degree semiclassical forms via polynomial mappings. Zbl 1527.33005
Marcellán, Francisco; Khalfallah, Mohamed
4
2023
Applications of Caputo operators in the evaluation of Clebsch-Gordan-type multiple elliptic integrals. Zbl 1530.33014
Campbell, J. M.
3
2023
Jacobi-type functions defined by fractional Bessel derivatives. Zbl 1534.33009
Bouzeffour, Fethi; Jedidi, Wissem
3
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Some evaluations of parametric Euler type sums of harmonic numbers. Zbl 1516.11036
Quan, Junjie; Xu, Ce; Zhang, Xixi
3
2023
Generalization of Titchmarsh’s theorems for the Minkowski algebra. Zbl 1504.42023
El Haoui, Youssef; Zayed, Mohra
3
2023
Inequalities related to spherical harmonics associated with the Weinstein operator. Zbl 1527.33010
Salem, Néjib Ben
3
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Calderón’s reproducing formulas for the poly-axially \(L_{\alpha}^2\)-multiplier operators. Zbl 1542.43005
Selmi, Belgacem; Chbeb, Rahma
2
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On some relations between hyper Bessel-Clifford, Macdonald and Meijer functions and hyper Hankel-Clifford integral transforms. Zbl 1536.33014
Shilin, I. A.; Choi, Junesang
2
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Inversion formula and uncertainty inequalities for the Weinstein-type Segal-Bargmann transform. Zbl 1529.44001
Soltani, Fethi; Saadi, Hanen
2
2023
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 1531.33026
Brychkov, Yu. A.; Savischenko, N. V.
2
2023
Canonical potential and \(L^p\)-Sobolev space involving linear canonical Fourier transform. Zbl 1523.43004
Prasad, Akhilesh; Kumar, Amit
2
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Sharp weighted Hölder mean bounds for the complete elliptic integral of the second kind. Zbl 1530.33023
Wang, Miao-Kun; He, Zai-Yin; Zhao, Tie-Hong; Bao, Qi
2
2023
On a variant of multivariate Mittag-Leffler’s function arising in the Laplace transform method. Zbl 1512.33019
Abilassan, A.; Restrepo, J. E.; Suragan, D.
2
2023
On some formulas for the confluent Horn functions \(H_{10}^{(c)} (a; c; w, z)\) and \(H_{11}^{(c)} (a, c, c'; d; w, z)\). Zbl 1532.33023
Brychkov, Yu A.; Savischenko, N. V.
2
2023
Binomial identities obtained from the Gegenbauer series expansion. Zbl 1542.33013
Kouba, Omran
2
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On the closed form of Clausen functions. Zbl 1536.33025
Tričković, Slobodan B.; Stanković, Miomir S.
1
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Characterization of the \(D\)-Laguerre-Hahn orthogonal polynomials of class one via the cubic decomposition. Zbl 1531.33022
Khériji, L.; Omrani, K.
1
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Shannon, Sobolev and uncertainty inequalities for the Weinstein transform. Zbl 1518.42016
Ben Salem, Néjib
1
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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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Product formula for the one-dimensional \((k,a)\)-generalized Fourier kernel. Zbl 1539.43002
Amri, Béchir
1
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Operational rules and \(d\)-orthogonal polynomials of Laguerre type. Zbl 1529.33009
Chaggara, H.; Boussorra, S.
1
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Absolutely convergent Fourier-Jacobi series and generalized Lipschitz classes. Zbl 1523.43003
Saadi, Faouaz; Daher, Radouan
1
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Expressing Hilbert and Riesz transforms in terms of wavelet transforms. Zbl 1512.42054
Moritoh, Shinya; Takemoto, Nao
1
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Characterizations of the gyrator transform via the fractional Fourier transform. Zbl 1518.42010
Kagawa, Toshinao; Suzuki, Toshio
1
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On Meijer’s \(G\) function \(G^{m,n}_{p,p}\) for \(m + n = p\). Zbl 1527.33011
Karp, D. B.; Prilepkina, E. G.
1
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Generalized translation and convolution associated to the linear canonical Fourier-Jacobi transform. Zbl 1531.42002
Akhlidj, Abdellatif; Elgadiri, Fatima; Dahani, Afaf
1
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Sufficient conditions for the weighted integrability of Fourier-Laguerre transforms. Zbl 1539.43004
Tyr, Othman; Daher, Radouan
1
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A new product formula involving Bessel functions. Zbl 1515.33008
Boubatra, Mohamed Amine; Negzaoui, Selma; Sifi, Mohamed
18
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Fourier-Bessel transforms and generalized uniform Lipschitz classes. Zbl 1501.44005
Volosivets, S. S.
17
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Symbolic computations via Fourier-Legendre expansions and fractional operators. Zbl 1501.33003
Campbell, John M.; Cantarini, Marco; D’Aurizio, Jacopo
9
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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.
8
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On the fractional Bessel operator. Zbl 07493955
Bouzeffour, F.; Garayev, M.
8
2022
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
Brychkov, Yu. A.; Savischenko, N. V.
8
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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
7
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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
Bezrodnykh, S. I.
7
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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
Bezrodnykh, S. I.
7
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On some formulas for the Horn function \(H_7(a, b, b^\prime; c; w, z)\). Zbl 1521.33008
Brychkov, Yu. A.; Savischenko, N. V.
5
2022
On some formulas for the Horn functions \(H_5 (a,b; c;w, z)\) and \(H_5^{(c)}(a;c;w,z)\). Zbl 1509.33014
Brychkov, Yu. A.; Savischenko, N. V.
5
2022
Mikusiński’s operational calculus for Prabhakar fractional calculus. Zbl 1516.26003
Rani, Noosheza; Fernandez, Arran
5
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Quadratic-phase Fourier transform of tempered distributions and pseudo-differential operators. Zbl 1501.46039
Kumar, Manish; Pradhan, Tusharakanta
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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Remark on a Mittag-Leffler function of Le Roy type. Zbl 1505.33011
Simon, Thomas
3
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On the generalized Dunkl Dini-Lipschitz spaces. Zbl 1497.42021
Boubatra, Mohamed Amine
3
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Lebedev-Skalskaya transforms and allied operators on certain function spaces. Zbl 1494.44006
Mandal, U. K.; Prasad, Akhilesh
3
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Rate of convergence at the hard edge for various Pólya ensembles of positive definite matrices. Zbl 1490.15052
Forrester, Peter J.; Li, Shi-Hao
2
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Indefinite integrals involving the exponential integral function. Zbl 1494.34109
Conway, John T.
2
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Lie-type operational approach to modified 2D-Laguerre polynomials. Zbl 1504.33007
Bin-Saad, Maged G.; Shahwan, Mohannad J. S.
2
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Cauchy type problems for fractional differential equations. Zbl 1490.34067
Karimov, Erkinjon; Ruzhansky, Michael; Tokmagambetov, Niyaz
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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On the zeros of some \(d\)-orthogonal polynomials. Zbl 1500.42011
Romdhane, Neila Ben; Abdelkader, Emna
2
2022
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
2
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Analytic continuation of the Kampé de Fériet function and the general double Horn series. Zbl 1522.33010
Bezrodnykh, S. I.
2
2022
Explicit evaluation of some integrals involving polylogarithm functions. Zbl 1507.33014
Li, Rusen
2
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Infinite series involving harmonic numbers of convergence rate 1/2. Zbl 1493.33004
Chu, Wenchang
2
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Bell polynomials and generalized Laplace transforms. Zbl 1503.30013
Ricci, Paolo Emilio
2
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Asymptotic expansions of Kummer hypergeometric functions for large values of the parameters. Zbl 1500.41010
Temme, Nico M.
1
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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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Continuous characterization of Besov spaces by the mean of the wavelet transform with rotations. Zbl 1504.42101
Navarro, Jaime
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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On the theory of orthogonal polynomials for the weight \(x^\nu \exp (-x-t/x)\). II. Zbl 1521.33004
Yakubovich, S.
1
2022
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
Bin-Saad, Maged G.; Hasanov, Anvar; Ruzhansky, Michael
1
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A mean value inequality for the cyclic functions. Zbl 1502.26016
Alzer, Horst
1
2022
Analogues of Beurling’s theorem for some integral transforms. Zbl 1492.42004
Debnath, Santanu; Sen, Suparna
1
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Unifying discrete and integral transforms through the use of a Banach algebra. Zbl 1511.44001
Futcher, Thomas; Rodrigo, Marianito R.
1
2022
Harmonic analysis associated to the canonical Fourier Bessel transform. Zbl 1472.42007
Dhaouadi, Lazhar; Sahbani, Jihed; Fitouhi, Ahmed
12
2021
Linear canonical wave packet transform. Zbl 1479.42019
Prasad, Akhilesh; Kundu, Manab
9
2021
Lebedev-Skalskaya transforms on certain function spaces and associated pseudo-differential operators. Zbl 1472.44002
Mandal, U. K.; Prasad, Akhilesh
8
2021
Fractional integrals with measure in grand Lebesgue and Morrey spaces. Zbl 1529.45010
Kokilashvili, Vakhtang; Meskhi, Alexander
8
2021
On the Hankel transform of functions from Nikol’ski type classes. Zbl 1495.44006
Platonov, S. S.
8
2021
Generalized Bessel potential and its application to non-homogeneous singular screened Poisson equation. Zbl 1501.47091
Shishkina, Elina; Ekincioğlu, Ismail; Keskin, Cansu
7
2021
Uncertainty principles for the Opdam-Cherednik transform on modulation spaces. Zbl 1484.44004
Poria, Anirudha
7
2021
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.
6
2021
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.
6
2021
A concavity property of generalized complete elliptic integrals. Zbl 1480.33007
Richards, Kendall C.; Smith, Jordan N.
6
2021
Fourier series for coherent pairs of Jacobi measures. Zbl 1473.42005
Ciaurri, Óscar; Mínguez Ceniceros, Judit
6
2021
Linear and nonlinear Bessel potentials associated with the poly-axially operator. Zbl 1476.46044
Selmi, Belgacem; Khelifi, Chahiba
5
2021
Quantitative uncertainty principles associated with the directional short-time Fourier transform. Zbl 1489.43005
Mejjaoli, Hatem; Omri, Slim
5
2021
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.
5
2021
Symmetric differential operators for Sobolev orthogonal polynomials of Laguerre- and Jacobi-type. Zbl 1489.33009
Markett, Clemens
5
2021
Uncertainty principles in linear canonical domains. Zbl 1462.42009
Lian, Pan
4
2021
On a new class of 2-orthogonal polynomials. I: The recurrence relations and some properties. Zbl 1467.33006
Douak, Khalfa; Maroni, Pascal
4
2021
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.
4
2021
Structure, boundedness, and convergence in the dual of a Hankel-\(K\{ M_p\}\) space. Zbl 1481.46033
Arteaga, Cristian; Marrero, Isabel
4
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36 Ansari, Alireza
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35 Mehrez, Khaled
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34 Vinti, Gianluca
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31 Chung, Hyun Soo
31 Fernandez, Arran
31 Guliyev, Vagif Sabir
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29 Raina, Ravinder Krishna
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28 Araci, Serkan
27 Costarelli, Danilo
27 Dattoli, Giuseppe
27 Koepf, Wolfram A.
27 Parmar, Rakesh Kumar
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Cited in 664 Journals

789 Integral Transforms and Special Functions
307 Journal of Mathematical Analysis and Applications
274 Applied Mathematics and Computation
175 Mathematical Methods in the Applied Sciences
170 Journal of Inequalities and Applications
162 Advances in Difference Equations
144 Journal of Computational and Applied Mathematics
122 Fractional Calculus & Applied Analysis
113 Journal of Pseudo-Differential Operators and Applications
102 Abstract and Applied Analysis
96 Mediterranean Journal of Mathematics
92 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
89 The Ramanujan Journal
85 Results in Mathematics
82 Computers & Mathematics with Applications
77 Filomat
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65 Complex Analysis and Operator Theory
60 Proceedings of the American Mathematical Society
57 Journal of Mathematical Sciences (New York)
56 Journal of Difference Equations and Applications
53 Complex Variables and Elliptic Equations
53 Journal of Function Spaces
52 Advances in Applied Clifford Algebras
52 Lobachevskii Journal of Mathematics
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49 AIMS Mathematics
48 Turkish Journal of Mathematics
48 Communications of the Korean Mathematical Society
47 Mathematische Nachrichten
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33 Boletín de la Sociedad Matemática Mexicana. Third Series
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