Khalfallah, Mohamed Several characterizations of third-degree semiclassical linear forms of class two appearing via cubic decomposition. (English) Zbl 07825003 Integral Transforms Spec. Funct. 35, No. 3, 206-233 (2024). Reviewer: Thomas Ernst (Uppsala) MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{M. Khalfallah}, Integral Transforms Spec. Funct. 35, No. 3, 206--233 (2024; Zbl 07825003) Full Text: DOI
Benamira, Wissem; Nasri, Ahmed; Ellaggoune, Fateh Operational rules for a new family of \(d\)-orthogonal polynomials of Laguerre type. (English) Zbl 07803291 Integral Transforms Spec. Funct. 35, No. 2, 77-94 (2024). MSC: 33C45 39A70 41A58 42C05 PDFBibTeX XMLCite \textit{W. Benamira} et al., Integral Transforms Spec. Funct. 35, No. 2, 77--94 (2024; Zbl 07803291) Full Text: DOI
Khériji, L.; Omrani, K. Characterization of the \(D\)-Laguerre-Hahn orthogonal polynomials of class one via the cubic decomposition. (English) Zbl 07714099 Integral Transforms Spec. Funct. 34, No. 8, 570-588 (2023). MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{L. Khériji} and \textit{K. Omrani}, Integral Transforms Spec. Funct. 34, No. 8, 570--588 (2023; Zbl 07714099) Full Text: DOI
Tung, Hoang; Thao, Nguyen Xuan; Tuan, Vu Kim The \(h\)-Fourier sine-Laplace discrete generalized convolution on time scale. (English) Zbl 1522.42017 Integral Transforms Spec. Funct. 34, No. 6, 444-456 (2023). Reviewer: Raymond Johnson (Columbia) MSC: 42A85 42A38 44A35 45E10 PDFBibTeX XMLCite \textit{H. Tung} et al., Integral Transforms Spec. Funct. 34, No. 6, 444--456 (2023; Zbl 1522.42017) Full Text: DOI
Mejri, M.; Marzouki, T. Division problem of a regular symmetric form the case \(x^3 u = \lambda xv\). (English) Zbl 07683292 Integral Transforms Spec. Funct. 34, No. 4, 346-363 (2023). MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{M. Mejri} and \textit{T. Marzouki}, Integral Transforms Spec. Funct. 34, No. 4, 346--363 (2023; Zbl 07683292) Full Text: DOI
Georgiev, S. G.; Darvish, V. The generalized Fourier convolution on time scales. (English) Zbl 1522.44007 Integral Transforms Spec. Funct. 34, No. 3, 211-227 (2023). MSC: 44A35 44A15 26E70 PDFBibTeX XMLCite \textit{S. G. Georgiev} and \textit{V. Darvish}, Integral Transforms Spec. Funct. 34, No. 3, 211--227 (2023; Zbl 1522.44007) Full Text: DOI
Quan, Junjie; Xu, Ce; Zhang, Xixi Some evaluations of parametric Euler type sums of harmonic numbers. (English) Zbl 1516.11036 Integral Transforms Spec. Funct. 34, No. 2, 162-179 (2023). Reviewer: Sándor Kiss (Budapest) MSC: 11B83 05A10 05A19 11B65 11M06 33D60 33C20 PDFBibTeX XMLCite \textit{J. Quan} et al., Integral Transforms Spec. Funct. 34, No. 2, 162--179 (2023; Zbl 1516.11036) Full Text: DOI arXiv
Chaggara, H.; Boussorra, S. Operational rules and \(d\)-orthogonal polynomials of Laguerre type. (English) Zbl 07671547 Integral Transforms Spec. Funct. 34, No. 2, 145-161 (2023). MSC: 33C45 42C05 44A45 44A55 39A70 41A10 41A58 PDFBibTeX XMLCite \textit{H. Chaggara} and \textit{S. Boussorra}, Integral Transforms Spec. Funct. 34, No. 2, 145--161 (2023; Zbl 07671547) Full Text: DOI
Zaatra, M.; Dekhil, S. The symmetric \(D_w\)-Laguerre-Hahn orthogonal polynomial of class one. (English) Zbl 07671545 Integral Transforms Spec. Funct. 34, No. 2, 105-127 (2023). MSC: 33C45 44A55 42C05 39A70 PDFBibTeX XMLCite \textit{M. Zaatra} and \textit{S. Dekhil}, Integral Transforms Spec. Funct. 34, No. 2, 105--127 (2023; Zbl 07671545) Full Text: DOI
Marcellán, Francisco; Khalfallah, Mohamed On the characterizations of third-degree semiclassical forms via polynomial mappings. (English) Zbl 1527.33005 Integral Transforms Spec. Funct. 34, No. 1, 65-87 (2023). MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{F. Marcellán} and \textit{M. Khalfallah}, Integral Transforms Spec. Funct. 34, No. 1, 65--87 (2023; Zbl 1527.33005) Full Text: DOI
Tounsi, M. Ihsen; Ghrairi, Karima Other family of cubic decomposition of a semiclassical form of class one. (English) Zbl 1527.33006 Integral Transforms Spec. Funct. 34, No. 1, 1-25 (2023). MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{M. I. Tounsi} and \textit{K. Ghrairi}, Integral Transforms Spec. Funct. 34, No. 1, 1--25 (2023; Zbl 1527.33006) Full Text: DOI
Chu, Wenchang Infinite series involving harmonic numbers of convergence rate 1/2. (English) Zbl 1493.33004 Integral Transforms Spec. Funct. 33, No. 7, 570-590 (2022). Reviewer: Roberto S. Costas-Santos (Alcalá) MSC: 33C20 65B10 PDFBibTeX XMLCite \textit{W. Chu}, Integral Transforms Spec. Funct. 33, No. 7, 570--590 (2022; Zbl 1493.33004) Full Text: DOI
Mishev, Ilia D. Relations for a class of terminating \(_4F_3(4)\) hypergeometric series. (English) Zbl 1508.33006 Integral Transforms Spec. Funct. 33, No. 3, 199-215 (2022). MSC: 33C20 33C05 33C80 PDFBibTeX XMLCite \textit{I. D. Mishev}, Integral Transforms Spec. Funct. 33, No. 3, 199--215 (2022; Zbl 1508.33006) Full Text: DOI arXiv
Chaggara, H.; Ayadi, N. Discrete Hahn-classical \(d\)-orthogonal polynomials. (English) Zbl 1514.33009 Integral Transforms Spec. Funct. 32, No. 5-8, 407-436 (2021). MSC: 33C45 39A70 PDFBibTeX XMLCite \textit{H. Chaggara} and \textit{N. Ayadi}, Integral Transforms Spec. Funct. 32, No. 5--8, 407--436 (2021; Zbl 1514.33009) Full Text: DOI
Arvesú, J.; Ramírez-Aberasturis, A. M. Multiple \(q\)-Kravchuk polynomials. (English) Zbl 1473.42027 Integral Transforms Spec. Funct. 32, No. 5-8, 361-376 (2021). MSC: 42C05 33C47 33E99 PDFBibTeX XMLCite \textit{J. Arvesú} and \textit{A. M. Ramírez-Aberasturis}, Integral Transforms Spec. Funct. 32, No. 5--8, 361--376 (2021; Zbl 1473.42027) Full Text: DOI
Yakubovich, S. On the Laguerre fractional integro-differentiation. (English) Zbl 1476.44004 Integral Transforms Spec. Funct. 32, No. 1, 48-66 (2021). Reviewer: S. L. Kalla (Ballwin) MSC: 44A15 33C05 26A33 45E10 PDFBibTeX XMLCite \textit{S. Yakubovich}, Integral Transforms Spec. Funct. 32, No. 1, 48--66 (2021; Zbl 1476.44004) Full Text: DOI arXiv
Wang, Weiping; Zhang, Ke A characterization of the exponential symmetric Sheffer sequences. (English) Zbl 1470.05024 Integral Transforms Spec. Funct. 31, No. 12, 955-965 (2020). MSC: 05A19 11B83 11C99 33C47 PDFBibTeX XMLCite \textit{W. Wang} and \textit{K. Zhang}, Integral Transforms Spec. Funct. 31, No. 12, 955--965 (2020; Zbl 1470.05024) Full Text: DOI
Ben Salah, I.; Khalfallah, M. Third-degree semiclassical forms of class one arising from cubic decomposition. (English) Zbl 1451.33007 Integral Transforms Spec. Funct. 31, No. 9, 720-743 (2020). Reviewer: Ahmed I. Zayed (Chicago) MSC: 33C45 PDFBibTeX XMLCite \textit{I. Ben Salah} and \textit{M. Khalfallah}, Integral Transforms Spec. Funct. 31, No. 9, 720--743 (2020; Zbl 1451.33007) Full Text: DOI
Chu, Wenchang Divided differences and terminating well-poised hypergeometric series. (English) Zbl 1448.33009 Integral Transforms Spec. Funct. 31, No. 8, 655-668 (2020). Reviewer: Richard B. Paris (Dundee) MSC: 33C20 33C60 PDFBibTeX XMLCite \textit{W. Chu}, Integral Transforms Spec. Funct. 31, No. 8, 655--668 (2020; Zbl 1448.33009) Full Text: DOI
Guo, Victor J. W.; Liu, Ji-Cai Some congruences related to a congruence of Van Hamme. (English) Zbl 1434.11054 Integral Transforms Spec. Funct. 31, No. 3, 221-231 (2020). MSC: 11B65 33C20 33B15 11A07 PDFBibTeX XMLCite \textit{V. J. W. Guo} and \textit{J.-C. Liu}, Integral Transforms Spec. Funct. 31, No. 3, 221--231 (2020; Zbl 1434.11054) Full Text: DOI arXiv
Lin, Ke-Yu; Liu, Ji-Cai Congruences for the truncated Appell series \(F_3\) and \(F_4\). (English) Zbl 1439.11014 Integral Transforms Spec. Funct. 31, No. 1, 10-17 (2020). MSC: 11A07 33C65 PDFBibTeX XMLCite \textit{K.-Y. Lin} and \textit{J.-C. Liu}, Integral Transforms Spec. Funct. 31, No. 1, 10--17 (2020; Zbl 1439.11014) Full Text: DOI
Sofo, Anthony General order Euler sums with rational argument. (English) Zbl 1439.11213 Integral Transforms Spec. Funct. 30, No. 12, 978-991 (2019). MSC: 11M06 11M32 33B15 PDFBibTeX XMLCite \textit{A. Sofo}, Integral Transforms Spec. Funct. 30, No. 12, 978--991 (2019; Zbl 1439.11213) Full Text: DOI
Jana, Arijit; Kalita, Gautam Supercongruences for sums involving rising factorial \(\left(\frac{1}{\ell}\right)^3_k\). (English) Zbl 1439.11012 Integral Transforms Spec. Funct. 30, No. 9, 683-692 (2019). MSC: 11A07 11D88 33B15 33C20 PDFBibTeX XMLCite \textit{A. Jana} and \textit{G. Kalita}, Integral Transforms Spec. Funct. 30, No. 9, 683--692 (2019; Zbl 1439.11012) Full Text: DOI
Li, Nadia N.; Chu, Wenchang Nonterminating \(_3F_2\)-series with a free variable. (English) Zbl 1428.33017 Integral Transforms Spec. Funct. 30, No. 8, 628-642 (2019). Reviewer: István Mező (Debrecen) MSC: 33C20 05A10 PDFBibTeX XMLCite \textit{N. N. Li} and \textit{W. Chu}, Integral Transforms Spec. Funct. 30, No. 8, 628--642 (2019; Zbl 1428.33017) Full Text: DOI
Dueñas Ruiz, Herbert; Marcellán Español, Francisco; Molano Molano, Alejandro An inverse problem associated with \((1,1)\) symmetric coherent linear functionals. (English) Zbl 1416.33016 Integral Transforms Spec. Funct. 30, No. 7, 526-546 (2019). Reviewer: Francisco Pérez Acosta (La Laguna) MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{H. Dueñas Ruiz} et al., Integral Transforms Spec. Funct. 30, No. 7, 526--546 (2019; Zbl 1416.33016) Full Text: DOI
Tounsi, Mohamed Ihsen; Saka, Amel Cubic decomposition of a family of semiclassical orthogonal polynomials of class two. (English) Zbl 1384.33024 Integral Transforms Spec. Funct. 29, No. 2, 113-130 (2018). MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{M. I. Tounsi} and \textit{A. Saka}, Integral Transforms Spec. Funct. 29, No. 2, 113--130 (2018; Zbl 1384.33024) Full Text: DOI
Sghaier, M.; Zaatra, M. A large family of \(D_w\)-semiclassical polynomials of class one. (English) Zbl 1370.33012 Integral Transforms Spec. Funct. 28, No. 5, 386-402 (2017). Reviewer: Chrysoula G. Kokologiannaki (Patras) MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{M. Sghaier} and \textit{M. Zaatra}, Integral Transforms Spec. Funct. 28, No. 5, 386--402 (2017; Zbl 1370.33012) Full Text: DOI
Sadjang, P. Njionou; Koepf, W.; Foupouagnigni, M. On structure formulas for Wilson polynomials. (English) Zbl 1331.33011 Integral Transforms Spec. Funct. 26, No. 10, 1000-1014 (2015). Reviewer: István Mező (Debrecen) MSC: 33C20 33D45 42C05 PDFBibTeX XMLCite \textit{P. N. Sadjang} et al., Integral Transforms Spec. Funct. 26, No. 10, 1000--1014 (2015; Zbl 1331.33011) Full Text: DOI
Mesquita, T. Augusta; Macedo, Â. Chebyshev polynomials via quadratic and cubic decompositions of the canonical sequence. (English) Zbl 1342.33023 Integral Transforms Spec. Funct. 26, No. 10, 956-970 (2015). Reviewer: Renato Alvarez-Nodarse (Sevilla) MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{T. A. Mesquita} and \textit{Â. Macedo}, Integral Transforms Spec. Funct. 26, No. 10, 956--970 (2015; Zbl 1342.33023) Full Text: DOI
Ben Salah, I. On the extended connection coefficients between two orthogonal polynomial sequences. (English) Zbl 1331.33013 Integral Transforms Spec. Funct. 26, No. 10, 872-884 (2015). Reviewer: Chrysoula G. Kokologiannaki (Patras) MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{I. Ben Salah}, Integral Transforms Spec. Funct. 26, No. 10, 872--884 (2015; Zbl 1331.33013) Full Text: DOI
Tounsi, M. Ihsen; Bouguerra, Issameddine Cubic decomposition of a family of semiclassical polynomial sequences of class one. (English) Zbl 1318.33021 Integral Transforms Spec. Funct. 26, No. 5, 377-394 (2015). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 33C45 PDFBibTeX XMLCite \textit{M. I. Tounsi} and \textit{I. Bouguerra}, Integral Transforms Spec. Funct. 26, No. 5, 377--394 (2015; Zbl 1318.33021) Full Text: DOI
Kim, Dae San; Kim, Taekyun A note on Boole polynomials. (English) Zbl 1369.11020 Integral Transforms Spec. Funct. 25, No. 8, 627-633 (2014). MSC: 11B68 11S80 PDFBibTeX XMLCite \textit{D. S. Kim} and \textit{T. Kim}, Integral Transforms Spec. Funct. 25, No. 8, 627--633 (2014; Zbl 1369.11020) Full Text: DOI arXiv
Maroni, P.; Mejri, M. Some perturbed sequences of order one of the Chebyshev polynomials of second kind. (English) Zbl 1286.42037 Integral Transforms Spec. Funct. 25, No. 1, 44-60 (2014). Reviewer: Mabrouk Sghaier (Medenine) MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{P. Maroni} and \textit{M. Mejri}, Integral Transforms Spec. Funct. 25, No. 1, 44--60 (2014; Zbl 1286.42037) Full Text: DOI
Ihsen Tounsi, M. On a family of a semiclassical orthogonal polynomial sequences of class two. (English) Zbl 1283.33007 Integral Transforms Spec. Funct. 24, No. 9, 739-756 (2013). Reviewer: Manoubi Méjri (Gabes) MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{M. Ihsen Tounsi}, Integral Transforms Spec. Funct. 24, No. 9, 739--756 (2013; Zbl 1283.33007) Full Text: DOI
Dueñas, Herbert; Garza, Luis E. Jacobi-Sobolev-type orthogonal polynomials: holonomic equation and electrostatic interpretation – a non-diagonal case. (English) Zbl 1264.42005 Integral Transforms Spec. Funct. 24, No. 1, 70-83 (2013). Reviewer: Roelof Koekoek (Delft) MSC: 42C05 33C47 PDFBibTeX XMLCite \textit{H. Dueñas} and \textit{L. E. Garza}, Integral Transforms Spec. Funct. 24, No. 1, 70--83 (2013; Zbl 1264.42005) Full Text: DOI
Wang, Xiaoxia Recursion formulas for Appell functions. (English) Zbl 1273.33013 Integral Transforms Spec. Funct. 23, No. 6, 421-433 (2012). Reviewer: Khodabakhsh Hessami Pilehrood (Halifax) MSC: 33C65 33C20 PDFBibTeX XMLCite \textit{X. Wang}, Integral Transforms Spec. Funct. 23, No. 6, 421--433 (2012; Zbl 1273.33013) Full Text: DOI
Bohner, Martin; Guseinov, Gusein Sh.; Karpuz, Başak Properties of the Laplace transform on time scales with arbitrary graininess. (English) Zbl 1236.44002 Integral Transforms Spec. Funct. 22, No. 11, 785-800 (2011). Reviewer: Lothar Berg (Rostock) MSC: 44A10 26E70 39A12 39A13 PDFBibTeX XMLCite \textit{M. Bohner} et al., Integral Transforms Spec. Funct. 22, No. 11, 785--800 (2011; Zbl 1236.44002) Full Text: DOI
Foupouagnigni, M.; Nangho, M. Kenfack; Mboutngam, S. Characterization theorem for classical orthogonal polynomials on non-uniform lattices: the functional approach. (English) Zbl 1234.33012 Integral Transforms Spec. Funct. 22, No. 10, 739-758 (2011). Reviewer: Stamatis Koumandos (Nicosia) MSC: 33C45 33D45 PDFBibTeX XMLCite \textit{M. Foupouagnigni} et al., Integral Transforms Spec. Funct. 22, No. 10, 739--758 (2011; Zbl 1234.33012) Full Text: DOI Link
Ferreira, Chelo; López, José L. The Liouville-Neumann approximation of the regular solutions of the Heun’s equations. (English) Zbl 1250.34012 Integral Transforms Spec. Funct. 21, No. 11-12, 839-847 (2010). Reviewer: Johann Brauchart (Graz) MSC: 34A45 33C15 33C05 45D05 PDFBibTeX XMLCite \textit{C. Ferreira} and \textit{J. L. López}, Integral Transforms Spec. Funct. 21, No. 11--12, 839--847 (2010; Zbl 1250.34012) Full Text: DOI
Wang, Weiping; Wang, Wenwen Some results on power sums and Apostol-type polynomials. (English) Zbl 1203.33011 Integral Transforms Spec. Funct. 21, No. 3-4, 307-318 (2010). Reviewer: Renato Alvarez-Nodarse (Sevilla) MSC: 33C45 PDFBibTeX XMLCite \textit{W. Wang} and \textit{W. Wang}, Integral Transforms Spec. Funct. 21, No. 3--4, 307--318 (2010; Zbl 1203.33011) Full Text: DOI
López, José L. The Liouville-Neumann expansion in one-dimensional boundary value problems. (English) Zbl 1187.34013 Integral Transforms Spec. Funct. 21, No. 1-2, 125-133 (2010). MSC: 34A45 34B05 34A25 34B09 PDFBibTeX XMLCite \textit{J. L. López}, Integral Transforms Spec. Funct. 21, No. 1--2, 125--133 (2010; Zbl 1187.34013) Full Text: DOI
Chu, Wenchang; Wang, Xiaoxia The modified Abel Lemma on summation by parts and terminating hypergeometric series identities. (English) Zbl 1173.33004 Integral Transforms Spec. Funct. 20, No. 2, 93-118 (2009). Reviewer: Wolfram Koepf (Kassel) MSC: 33C20 40G10 PDFBibTeX XMLCite \textit{W. Chu} and \textit{X. Wang}, Integral Transforms Spec. Funct. 20, No. 2, 93--118 (2009; Zbl 1173.33004) Full Text: DOI
Chu, Wenchang; Wang, Xiaoxia Abel’s method on summation by parts and hypergeometric contiguous relations. (English) Zbl 1130.33002 Integral Transforms Spec. Funct. 18, No. 11, 771-807 (2007). Reviewer: Wadim Zudilin (Moskva) MSC: 33C20 65B10 PDFBibTeX XMLCite \textit{W. Chu} and \textit{X. Wang}, Integral Transforms Spec. Funct. 18, No. 11, 771--807 (2007; Zbl 1130.33002) Full Text: DOI
Area, I.; Godoy, E.; Marcellán, F. \(\Delta\)-coherent pairs and orthogonal polynomials of a discrete variable. (English) Zbl 1047.42019 Integral Transforms Spec. Funct. 14, No. 1, 31-57 (2003). Reviewer: Andrei Martínez Finkelshtein (Almeria) MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{I. Area} et al., Integral Transforms Spec. Funct. 14, No. 1, 31--57 (2003; Zbl 1047.42019) Full Text: DOI