Cesarano, Clemente; Goyal, Rahul; Alshehri, Mansoor; Jain, Shilpi; Agarwal, Praveen On a new class of hypergeometric function. (English) Zbl 07749583 Lobachevskii J. Math. 44, No. 6, 2269-2278 (2023). MSC: 33C47 33C20 26A33 44A10 44A15 44A20 PDFBibTeX XMLCite \textit{C. Cesarano} et al., Lobachevskii J. Math. 44, No. 6, 2269--2278 (2023; Zbl 07749583) Full Text: DOI
Cesarano, Clemente; Parmentier, Alexandra A note on Hermite-Bernoulli polynomials. (English) Zbl 1472.33005 Beghin, Luisa (ed.) et al., Nonlocal and fractional operators. Selected papers based on the presentations at the international workshop, Rome, Italy, April 12–13, 2019. Cham: Springer. SEMA SIMAI Springer Ser. 26, 101-119 (2021). MSC: 33C45 11B68 26A33 PDFBibTeX XMLCite \textit{C. Cesarano} and \textit{A. Parmentier}, SEMA SIMAI Springer Ser. 26, 101--119 (2021; Zbl 1472.33005) Full Text: DOI
Cesarano, Clemente Generalized special functions in the description of fractional diffusive equations. (English) Zbl 1422.33001 Commun. Appl. Ind. Math. 10, No. 1, 31-40 (2019). MSC: 33B10 33C45 34A08 35A22 PDFBibTeX XMLCite \textit{C. Cesarano}, Commun. Appl. Ind. Math. 10, No. 1, 31--40 (2019; Zbl 1422.33001) Full Text: DOI
Cesarano, Clemente Multi-dimensional Chebyshev polynomials: a non-conventional approach. (English) Zbl 1422.33003 Commun. Appl. Ind. Math. 10, No. 1, 1-19 (2019). MSC: 33C45 33C47 22E15 33C50 PDFBibTeX XMLCite \textit{C. Cesarano}, Commun. Appl. Ind. Math. 10, No. 1, 1--19 (2019; Zbl 1422.33003) Full Text: DOI
Cesarano, Clemente; Pinelas, Sandra; Ricci, Paolo Emilio The third and fourth kind pseudo-Chebyshev polynomials of half-integer degree. (English) Zbl 1416.33020 Symmetry 11, No. 2, Paper No. 274, 11 p. (2019). MSC: 33C47 11B37 PDFBibTeX XMLCite \textit{C. Cesarano} et al., Symmetry 11, No. 2, Paper No. 274, 11 p. (2019; Zbl 1416.33020) Full Text: DOI
Cesarano, Clemente Generalizations on Humbert polynomials and functions. (English) Zbl 1426.33024 Cogent Math. 4, Article ID 1310354, 10 p. (2017). MSC: 33C45 PDFBibTeX XMLCite \textit{C. Cesarano}, Cogent Math. 4, Article ID 1310354, 10 p. (2017; Zbl 1426.33024) Full Text: DOI
Cesarano, C. Operational methods and new identities for Hermite polynomials. (English) Zbl 1384.42017 Math. Model. Nat. Phenom. 12, No. 3, 44-50 (2017). MSC: 42C05 33C45 33C47 PDFBibTeX XMLCite \textit{C. Cesarano}, Math. Model. Nat. Phenom. 12, No. 3, 44--50 (2017; Zbl 1384.42017) Full Text: DOI
Cesarano, Clemente; Fornaro, Claudio A note on two-variable Chebyshev polynomials. (English) Zbl 1373.33015 Georgian Math. J. 24, No. 3, 339-349 (2017). MSC: 33C45 33D45 33C50 PDFBibTeX XMLCite \textit{C. Cesarano} and \textit{C. Fornaro}, Georgian Math. J. 24, No. 3, 339--349 (2017; Zbl 1373.33015) Full Text: DOI
Cesarano, C.; Fornaro, C.; Vazquez, L. Operational results on bi-orthogonal Hermite functions. (English) Zbl 1349.42053 Acta Math. Univ. Comen., New Ser. 85, No. 1, 43-68 (2016). MSC: 42C05 33C45 33C47 PDFBibTeX XMLCite \textit{C. Cesarano} et al., Acta Math. Univ. Comen., New Ser. 85, No. 1, 43--68 (2016; Zbl 1349.42053)
Cesarano, Clemente Integral representations and new generating functions of Chebyshev polynomials. (English) Zbl 1336.33021 Hacet. J. Math. Stat. 44, No. 3, 535-546 (2015). Reviewer: István Mező (Debrecen) MSC: 33C45 33D45 PDFBibTeX XMLCite \textit{C. Cesarano}, Hacet. J. Math. Stat. 44, No. 3, 535--546 (2015; Zbl 1336.33021)
Cesarano, Clemente Generalization of two-variable Chebyshev and Gegenbauer polynomials. (English) Zbl 1326.33021 Int. J. Appl. Math. Stat. 53, No. 1, 1-7 (2015). MSC: 33C50 PDFBibTeX XMLCite \textit{C. Cesarano}, Int. J. Appl. Math. Stat. 53, No. 1, 1--7 (2015; Zbl 1326.33021) Full Text: Link
Cesarano, Clemente Generalized Chebyshev polynomials. (English) Zbl 1307.33004 Hacet. J. Math. Stat. 43, No. 5, 731-740 (2014). MSC: 33C45 33D50 PDFBibTeX XMLCite \textit{C. Cesarano}, Hacet. J. Math. Stat. 43, No. 5, 731--740 (2014; Zbl 1307.33004)
Cesarano, Clemente Identities and generating functions on Chebyshev polynomials. (English) Zbl 1250.33011 Georgian Math. J. 19, No. 3, 427-440 (2012). MSC: 33C45 PDFBibTeX XMLCite \textit{C. Cesarano}, Georgian Math. J. 19, No. 3, 427--440 (2012; Zbl 1250.33011) Full Text: DOI
Dattoli, G.; Ricci, P. E.; Cesarano, C.; Khomasuridze, I. Bilateral generating functions and operational methods. (English) Zbl 1103.33007 South East Asian J. Math. Math. Sci. 4, No. 2, 1-6 (2006). MSC: 33C45 44A45 PDFBibTeX XMLCite \textit{G. Dattoli} et al., South East Asian J. Math. Math. Sci. 4, No. 2, 1--6 (2006; Zbl 1103.33007)
Dattoli, G.; Lorenzutta, S.; Cesarano, C. Bernstein polynomials and operational methods. (English) Zbl 1095.33004 J. Comput. Anal. Appl. 8, No. 4, 369-377 (2006). MSC: 33C45 41A25 44A45 PDFBibTeX XMLCite \textit{G. Dattoli} et al., J. Comput. Anal. Appl. 8, No. 4, 369--377 (2006; Zbl 1095.33004)
Dattoli, Giuseppe; Ricci, Paolo E.; Cesarano, Clemente On a class of polynomials generalizing the Laguerre family. (English) Zbl 1094.33007 J. Concr. Appl. Math. 3, No. 4, 405-412 (2005). MSC: 33C45 34A05 PDFBibTeX XMLCite \textit{G. Dattoli} et al., J. Concr. Appl. Math. 3, No. 4, 405--412 (2005; Zbl 1094.33007)
Dattoli, Giuseppe; Ricci, Paolo E.; Cesarano, Clemente Beyond the monomiality: the monumbrality principle. (English) Zbl 1096.33005 J. Comput. Anal. Appl. 6, No. 1, 77-83 (2004). Reviewer: Pablo Gonzalez-Vera (La Laguna) MSC: 33C45 05A15 PDFBibTeX XMLCite \textit{G. Dattoli} et al., J. Comput. Anal. Appl. 6, No. 1, 77--83 (2004; Zbl 1096.33005)
Dattoli, Giuseppe; Cesarano, Clemente; Ricci, Paolo E.; Vázquez Martínez, Luis Fractional derivatives: integral representations and generalized polynomials. (English) Zbl 1093.26004 J. Concr. Appl. Math. 2, No. 1, 59-66 (2004). MSC: 26A33 44A20 33C45 35R99 PDFBibTeX XMLCite \textit{G. Dattoli} et al., J. Concr. Appl. Math. 2, No. 1, 59--66 (2004; Zbl 1093.26004)
Dattoli, G.; Lorenzutta, S.; Ricci, P. E.; Cesarano, C. On a family of hybrid polynomials. (English) Zbl 1062.33009 Integral Transforms Spec. Funct. 15, No. 6, 485-490 (2004). Reviewer: Stamatis Koumandos (Nicosia) MSC: 33C45 33C50 33E20 44A45 PDFBibTeX XMLCite \textit{G. Dattoli} et al., Integral Transforms Spec. Funct. 15, No. 6, 485--490 (2004; Zbl 1062.33009) Full Text: DOI
Dattoli, G.; Ricci, P. E.; Cesarano, C. Special polynomials and associated differential equations from a general point of view. (English) Zbl 1160.33307 Int. Math. J. 4, No. 4, 321-328 (2003). MSC: 33C45 34B30 PDFBibTeX XMLCite \textit{G. Dattoli} et al., Int. Math. J. 4, No. 4, 321--328 (2003; Zbl 1160.33307)
Dattoli, G.; Ricci, P. E.; Cesarano, C. Generalized shift operators and monomial type functions. (English) Zbl 1068.33014 Tamsui Oxf. J. Math. Sci. 19, No. 2, 121-129 (2003). Reviewer: Pedro José Miana (Zaragoza) MSC: 33C45 47G20 PDFBibTeX XMLCite \textit{G. Dattoli} et al., Tamsui Oxf. J. Math. Sci. 19, No. 2, 121--129 (2003; Zbl 1068.33014)
Dattoli, G.; Lorenzutta, S.; Cesarano, C. From Hermite to Humbert polynomials. (English) Zbl 1065.33006 Rend. Ist. Mat. Univ. Trieste 35, No. 1-2, 37-48 (2003). Reviewer: Som Prakash Goyal (Jaipur) MSC: 33C45 PDFBibTeX XMLCite \textit{G. Dattoli} et al., Rend. Ist. Mat. Univ. Trieste 35, No. 1--2, 37--48 (2003; Zbl 1065.33006)
Dattoli, G.; Ricci, P. E.; Cesarano, C.; Vázquez, L. Special polynomials and fractional calculus. (English) Zbl 1081.33011 Math. Comput. Modelling 37, No. 7-8, 729-733 (2003). Reviewer: S. L. Kalla (Kuwait) MSC: 33C45 44A05 26A33 PDFBibTeX XMLCite \textit{G. Dattoli} et al., Math. Comput. Modelling 37, No. 7--8, 729--733 (2003; Zbl 1081.33011) Full Text: DOI
Dattoli, G.; Cesarano, C. On a new family of Hermite polynomials associated to parabolic cylinder functions. (English) Zbl 1026.33010 Appl. Math. Comput. 141, No. 1, 143-149 (2003). Reviewer: Semyon Yakubovich (Eindhoven) MSC: 33C45 33C10 PDFBibTeX XMLCite \textit{G. Dattoli} and \textit{C. Cesarano}, Appl. Math. Comput. 141, No. 1, 143--149 (2003; Zbl 1026.33010) Full Text: DOI
Dattoli, Giuseppe; Cesarano, Clemente; Sacchetti, Dario A note on truncated polynomials. (English) Zbl 1024.33002 Appl. Math. Comput. 134, No. 2-3, 595-605 (2003). Reviewer: Ajendra Nath Srivastava (Puna) MSC: 33B10 33C47 33C45 33C90 PDFBibTeX XMLCite \textit{G. Dattoli} et al., Appl. Math. Comput. 134, No. 2--3, 595--605 (2003; Zbl 1024.33002) Full Text: DOI
Dattoli, G.; Cesarano, C.; Lorenzutta, S. Bernoulli numbers and polynomials from a more general point of view. (English) Zbl 1046.33006 Rend. Mat. Appl., VII. Ser. 22, 193-202 (2002). MSC: 33C45 PDFBibTeX XMLCite \textit{G. Dattoli} et al., Rend. Mat. Appl., VII. Ser. 22, 193--202 (2002; Zbl 1046.33006)
Dattoli, G.; Ricci, P. E.; Cesarano, C. Differential equations for Appell type polynomials. (English) Zbl 1040.33007 Fract. Calc. Appl. Anal. 5, No. 1, 69-75 (2002). Reviewer: Robert G. Buschman (Langlois) MSC: 33C65 33C45 34A05 PDFBibTeX XMLCite \textit{G. Dattoli} et al., Fract. Calc. Appl. Anal. 5, No. 1, 69--75 (2002; Zbl 1040.33007)
Dattoli, Giuseppe; Ricci, Paolo E.; Cesarano, Clemente; Martínez, Luis Vázquez Fractional operators integral representations and special polynomials. (English) Zbl 1028.33006 Int. J. Appl. Math. 10, No. 2, 131-139 (2002). Reviewer: Som Prakash Goyal (Jaipur) MSC: 33C45 33C47 33C50 44A20 PDFBibTeX XMLCite \textit{G. Dattoli} et al., Int. J. Appl. Math. 10, No. 2, 131--139 (2002; Zbl 1028.33006)
Dattoli, G.; Lorenzutta, S.; Cesarano, C.; Ricci, P. E. Second level exponentials and families of Appell polynomials. (English) Zbl 1019.33006 Integral Transforms Spec. Funct. 13, No. 6, 521-527 (2002). MSC: 33C45 33C70 11B73 PDFBibTeX XMLCite \textit{G. Dattoli} et al., Integral Transforms Spec. Funct. 13, No. 6, 521--527 (2002; Zbl 1019.33006) Full Text: DOI
Dattoli, G.; Ricci, P. E.; Cesarano, C. Monumbral polynomials and the associated formalism. (English) Zbl 1030.33006 Integral Transforms Spec. Funct. 13, No. 2, 155-162 (2002). Reviewer: Ajendra Nath Srivastava (Puna) MSC: 33C45 05A15 PDFBibTeX XMLCite \textit{G. Dattoli} et al., Integral Transforms Spec. Funct. 13, No. 2, 155--162 (2002; Zbl 1030.33006) Full Text: DOI
Dattoli, G.; Ricci, P. E.; Cesarano, C. A note on multi-index polynomials of Dickson type and their applications in quantum optics. (English) Zbl 1011.33006 J. Comput. Appl. Math. 145, No. 2, 417-424 (2002). Reviewer: B.A.Bondarenko (Tashkent) MSC: 33C45 PDFBibTeX XMLCite \textit{G. Dattoli} et al., J. Comput. Appl. Math. 145, No. 2, 417--424 (2002; Zbl 1011.33006) Full Text: DOI
Dattoli, Giuseppe; Ricci, Paolo E.; Cesarano, Clemente A note on Legendre polynomials. (English) Zbl 1075.33502 Int. J. Nonlinear Sci. Numer. Simul. 2, No. 4, 365-370 (2001). MSC: 33C45 33C50 PDFBibTeX XMLCite \textit{G. Dattoli} et al., Int. J. Nonlinear Sci. Numer. Simul. 2, No. 4, 365--370 (2001; Zbl 1075.33502) Full Text: DOI
Dattoli, G.; Cesarano, C.; Sacchetti, D. A note on the monomiality principle and generalized polynomials. (English) Zbl 1048.33009 Rend. Mat. Appl., VII. Ser. 21, No. 1-4, 311-316 (2001). MSC: 33C45 PDFBibTeX XMLCite \textit{G. Dattoli} et al., Rend. Mat. Appl., VII. Ser. 21, No. 1--4, 311--316 (2001; Zbl 1048.33009)
Dattoli, G.; Cesarano, C.; Sacchetti, D. Miscellaneous results on the generating functions of special functions. (English) Zbl 1023.33006 Integral Transforms Spec. Funct. 12, No. 4, 315-322 (2001). Reviewer: H.S.P.Srivastava (Ratlam) MSC: 33C45 33C47 33C50 PDFBibTeX XMLCite \textit{G. Dattoli} et al., Integral Transforms Spec. Funct. 12, No. 4, 315--322 (2001; Zbl 1023.33006) Full Text: DOI
Dattoli, G.; Srivastava, H. M.; Cesarano, C. The Laguerre and Legendre polynomials from an operational point of view. (English) Zbl 1036.33008 Appl. Math. Comput. 124, No. 1, 117-127 (2001). MSC: 33C45 PDFBibTeX XMLCite \textit{G. Dattoli} et al., Appl. Math. Comput. 124, No. 1, 117--127 (2001; Zbl 1036.33008) Full Text: DOI
Cesarano, C. Monomiality principle and Legendre polynomials. (English) Zbl 1015.33007 Dattoli, Giuseppe (ed.) et al., Advanced special functions and integration methods. Proceedings of the workshop, Melfi, Italy, June 18-23, 2000. Rome: Aracne Editrice. Proc. Melfi Sch. Adv. Top. Math. Phys. 2, 83-95 (2001). Reviewer: Semyon Yakubovich (Porto) MSC: 33C45 33C50 33C80 PDFBibTeX XMLCite \textit{C. Cesarano}, Proc. Melfi Sch. Adv. Top. Math. Phys. 2, 83--95 (2001; Zbl 1015.33007)
Dattoli, Giuseppe; Ricci, Paolo E.; Cesarano, Clemente The Bessel functions and the Hermite polynomials from a unified point of view. (English) Zbl 1021.33008 Appl. Anal. 80, No. 3-4, 379-384 (2001). Reviewer: Ryszard Szwarc (Wrocław) MSC: 33C45 33C10 PDFBibTeX XMLCite \textit{G. Dattoli} et al., Appl. Anal. 80, No. 3--4, 379--384 (2001; Zbl 1021.33008) Full Text: DOI
Dattoli, G.; Sacchetti, D.; Cesarano, C. A note on Chebyshev polynomials. (English) Zbl 0999.33007 Ann. Univ. Ferrara, Nuova Ser., Sez. VII 47, 107-115 (2001). Reviewer: Som Prakash Goyal (Jaipur) MSC: 33C45 PDFBibTeX XMLCite \textit{G. Dattoli} et al., Ann. Univ. Ferrara, Nuova Ser., Sez. VII 47, 107--115 (2001; Zbl 0999.33007)
Dattoli, G.; Lorenzutta, S.; Cesarano, C. Generalized polynomials and new families of generating functions. (English) Zbl 0999.33009 Ann. Univ. Ferrara, Nuova Ser., Sez. VII 47, 57-61 (2001). Reviewer: Som Prakash Goyal (Jaipur) MSC: 33C45 PDFBibTeX XMLCite \textit{G. Dattoli} et al., Ann. Univ. Ferrara, Nuova Ser., Sez. VII 47, 57--61 (2001; Zbl 0999.33009)
Dattoli, G.; Lorenzutta, S.; Cesarano, C.; Sacchetti, D. Higher order derivatives of exponential functions and generalized forms of Kampé de Fériet-Bell polynomials. (English) Zbl 0991.33001 Int. J. Math. Stat. Sci. 9, No. 2, 111-123 (2000). Reviewer: Nácere Hayek (La Laguna) MSC: 33C45 33C65 PDFBibTeX XMLCite \textit{G. Dattoli} et al., Int. J. Math. Stat. Sci. 9, No. 2, 111--123 (2000; Zbl 0991.33001)
Dattoli, G.; Lorenzutta, S.; Cesarano, C. Finite sums and generalized forms of Bernoulli polynomials. (English) Zbl 0958.33006 Rend. Mat. Appl., VII. Ser. 19, No. 3, 385-391 (1999). Reviewer: H.-J.Glaeske (Jena) MSC: 33C45 PDFBibTeX XMLCite \textit{G. Dattoli} et al., Rend. Mat. Appl., VII. Ser. 19, No. 3, 385--391 (1999; Zbl 0958.33006)
Dattoli, G.; Lorenzutta, S.; Maino, G.; Torre, A.; Cesarano, C. Generalized Hermite polynomials and supergaussian forms. (English) Zbl 0872.33009 J. Math. Anal. Appl. 203, No. 3, 597-609 (1996). Reviewer: V.Burjan (Praha) MSC: 33C50 PDFBibTeX XMLCite \textit{G. Dattoli} et al., J. Math. Anal. Appl. 203, No. 3, 597--609 (1996; Zbl 0872.33009) Full Text: DOI