A new class of degenerate Apostol-type Hermite polynomials and applications

In this article, a new class of the degenerate Apostol–type Hermite polynomials is introduced. Certain algebraic and differential properties of there polynomials are derived. Most of the results are proved by using generating function methods.

Autores:: Cesarano, Clemente
Ramírez, William
Khan, Subuhi

Tipo de recurso:: Article of journal

Fecha de publicación:: 2022

Institución:: Corporación Universidad de la Costa

Repositorio:: REDICUC - Repositorio CUC

Idioma:: eng

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dc.title.eng.fl_str_mv	A new class of degenerate Apostol-type Hermite polynomials and applications
title	A new class of degenerate Apostol-type Hermite polynomials and applications
spellingShingle	A new class of degenerate Apostol-type Hermite polynomials and applications Function methods. Results
title_short	A new class of degenerate Apostol-type Hermite polynomials and applications
title_full	A new class of degenerate Apostol-type Hermite polynomials and applications
title_fullStr	A new class of degenerate Apostol-type Hermite polynomials and applications
title_full_unstemmed	A new class of degenerate Apostol-type Hermite polynomials and applications
title_sort	A new class of degenerate Apostol-type Hermite polynomials and applications
dc.creator.fl_str_mv	Cesarano, Clemente Ramírez, William Khan, Subuhi
dc.contributor.author.spa.fl_str_mv	Cesarano, Clemente Ramírez, William Khan, Subuhi
dc.subject.proposal.eng.fl_str_mv	Function methods. Results
topic	Function methods. Results
description	In this article, a new class of the degenerate Apostol–type Hermite polynomials is introduced. Certain algebraic and differential properties of there polynomials are derived. Most of the results are proved by using generating function methods.
publishDate	2022
dc.date.accessioned.none.fl_str_mv	2022-08-02T19:06:01Z
dc.date.available.none.fl_str_mv	2022-08-02T19:06:01Z
dc.date.issued.none.fl_str_mv	2022-04
dc.type.spa.fl_str_mv	Artículo de revista
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dc.identifier.issn.spa.fl_str_mv	2035-6803
dc.identifier.uri.spa.fl_str_mv	https://hdl.handle.net/11323/9425
dc.identifier.doi.spa.fl_str_mv	DOI - 10.3390/sym10110652 JO
dc.identifier.instname.spa.fl_str_mv	Corporación Universidad de la Costa
dc.identifier.reponame.spa.fl_str_mv	REDICUC - Repositorio CUC
dc.identifier.repourl.spa.fl_str_mv	https://repositorio.cuc.edu.co/
identifier_str_mv	2035-6803 DOI - 10.3390/sym10110652 JO Corporación Universidad de la Costa REDICUC - Repositorio CUC
url	https://hdl.handle.net/11323/9425 https://repositorio.cuc.edu.co/
dc.language.iso.none.fl_str_mv	eng
language	eng
dc.relation.ispartofjournal.spa.fl_str_mv	Dolomites Research Notes on Approximation
dc.relation.references.spa.fl_str_mv	[1] L. Andrews, Special functions for Engineers and Applied Mathematicians,Macmillan USA, 1985. [2] P. Appell, J. Kampé de Fériet, Fonctions Hypergéométriques et Hypersphériques Polynomes d0Hermite, Paris, Gautier Villars, 1926. [3] T. Apostol, On the Lerch Zeta-function, Pacific J. Math., 1:161-167, 1951. [4] D. Bedoya, M. Ortega, W. Ramírez, A. Urieles, New biparametric families of Apostol-Frobenius-Euler polynomials of level m, Mat. Stud., 55:10–23, 2021. [5] K. Burak, Explicit relations for the modified degenerate Apostol-type polynomials, BAUN Fen Bil. Enst. Dergisi, 20:401-412, 2018. [6] L. Carlitz, A degenerate Staudt–Clausen theorem, Arch. Math., (Basel), 7:28–33, 1956. [7] C. Cesarano, A note on Generalized Hermite polynomial, Inter. Journal of Appl. Math. and Inf., 8:1-6, 2014. [8] C. Cesarano, G.M. Cennamo, L. Placidi, Operational methods for Hermite polynomials with applications, WSEAS Trans. on Math., 13:925-931, 2014. [9] G. Dattoli,C. Cesarano, On a new family of Hermite polynomials associated to parabolic cylinder functions, Appl. Math. and Comp., 141(1):143–149, 2003. [10] G.Dattoli, C. Cesarano, D. Sacchetti, A note on Chebyshev polynomials, Ann. Univ. Ferrara, 7(47):107–115, 2001. [11] D. Lim, Some identities of degenerate Genocchi polynomials, Bull. Korean Math. Soc., 53:569-579, 2016. [12] H. Liu, W. Wang, Some identities on the Bernoulli, Euler and Genocchi polynomials via power sums and alternate power sums, Discr. Math., 309(3):346-3363, 2009. [13] Y. Quintana, W. Ramírez, A. Urieles, Generalized Apostol-type polynomial matrix and its algebraic properties, Math. Repor., 21(2):249–264, 2019. [14] Y. Quintana, W. Ramírez, A. Urieles, On an operational matrix method based on generalized Bernoulli polynomials of level m, Calcolo, 53:1–30, 2018. [15] W. Ramírez, L. Castilla, A. Urieles, An extended generalized q-extensions for the Apostol-type polynomials, Abs. and Appl. An., 1–13, 2018. [16] E. Rainville, Special Functions, Reprint of 1960, 1st Edition. Chelsea Publishig Co., Bronx, New York,1971. [17] H.M. Srivastava, J. Choi, Series associated with the Zeta and related functions, Springer, Dordrecht, Netherlands, 2001. [18] H.M. Srivastava, J. Choi, Zeta and q-Zeta functions and associated series and integrals, Elsevier, London, 2012. [19] K. Subuhi, N. Tabinda,R. Mumtaz, On degenerate Apostol-type polynomials and applications, Bol. de la Soc. Mat. Mex., 509–528, 2018. [20] K. Waseem, A note on degenerate Hermite poly–Bernoulli numbers and polynomials, Journal of Classical Analysis, 8:65–76, 2016. [21] K. Waseem, Degenerate Hermite–Bernoulli Numbers and Polynomials of the second kind, Presp. J., 7:1200–1208, 2016. [22] K. Waseem, A new class of degenerate Frobenius Euler–Hermite polynomials, Ad. St. in Cont. Math., 28:567–576, 2018.
dc.relation.citationstartpage.spa.fl_str_mv	10
dc.relation.citationissue.spa.fl_str_mv	1
dc.relation.citationvolume.spa.fl_str_mv	15
dc.rights.spa.fl_str_mv	Atribución 4.0 Internacional (CC BY 4.0) © 2009 - 2014. Universita degli Studi di Padova - Padova University Press
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rights_invalid_str_mv	Atribución 4.0 Internacional (CC BY 4.0) © 2009 - 2014. Universita degli Studi di Padova - Padova University Press https://creativecommons.org/licenses/by/4.0/ http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv	openAccess
dc.format.extent.spa.fl_str_mv	10 páginas
dc.format.mimetype.spa.fl_str_mv	application/pdf
dc.publisher.spa.fl_str_mv	University of Verona
dc.publisher.place.spa.fl_str_mv	Italy
institution	Corporación Universidad de la Costa
dc.source.url.spa.fl_str_mv	https://www.emis.de/journals/DRNA/1-2.html
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spelling	Cesarano, Clemente2d3a49e5a7911014edaa1b47fa5468f0Ramírez, William0d4994e7b9a1e21dee69d197bfd0505cKhan, Subuhib878e31ca91ac792e9df4f0c1d221ef02022-08-02T19:06:01Z2022-08-02T19:06:01Z2022-042035-6803https://hdl.handle.net/11323/9425DOI - 10.3390/sym10110652 JOCorporación Universidad de la CostaREDICUC - Repositorio CUChttps://repositorio.cuc.edu.co/In this article, a new class of the degenerate Apostol–type Hermite polynomials is introduced. Certain algebraic and differential properties of there polynomials are derived. Most of the results are proved by using generating function methods.10 páginasapplication/pdfengUniversity of VeronaItalyAtribución 4.0 Internacional (CC BY 4.0)© 2009 - 2014. Universita degli Studi di Padova - Padova University Presshttps://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2A new class of degenerate Apostol-type Hermite polynomials and applicationsArtículo de revistahttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1Textinfo:eu-repo/semantics/articlehttp://purl.org/redcol/resource_type/ARThttp://purl.org/coar/version/c_970fb48d4fbd8a85https://www.emis.de/journals/DRNA/1-2.htmlDolomites Research Notes on Approximation[1] L. Andrews, Special functions for Engineers and Applied Mathematicians,Macmillan USA, 1985.[2] P. Appell, J. Kampé de Fériet, Fonctions Hypergéométriques et Hypersphériques Polynomes d0Hermite, Paris, Gautier Villars, 1926.[3] T. Apostol, On the Lerch Zeta-function, Pacific J. Math., 1:161-167, 1951.[4] D. Bedoya, M. Ortega, W. Ramírez, A. Urieles, New biparametric families of Apostol-Frobenius-Euler polynomials of level m, Mat. Stud., 55:10–23, 2021.[5] K. Burak, Explicit relations for the modified degenerate Apostol-type polynomials, BAUN Fen Bil. Enst. Dergisi, 20:401-412, 2018.[6] L. Carlitz, A degenerate Staudt–Clausen theorem, Arch. Math., (Basel), 7:28–33, 1956.[7] C. Cesarano, A note on Generalized Hermite polynomial, Inter. Journal of Appl. Math. and Inf., 8:1-6, 2014.[8] C. Cesarano, G.M. Cennamo, L. Placidi, Operational methods for Hermite polynomials with applications, WSEAS Trans. on Math., 13:925-931, 2014.[9] G. Dattoli,C. Cesarano, On a new family of Hermite polynomials associated to parabolic cylinder functions, Appl. Math. and Comp., 141(1):143–149, 2003.[10] G.Dattoli, C. Cesarano, D. Sacchetti, A note on Chebyshev polynomials, Ann. Univ. Ferrara, 7(47):107–115, 2001.[11] D. Lim, Some identities of degenerate Genocchi polynomials, Bull. Korean Math. Soc., 53:569-579, 2016.[12] H. Liu, W. Wang, Some identities on the Bernoulli, Euler and Genocchi polynomials via power sums and alternate power sums, Discr. Math., 309(3):346-3363, 2009.[13] Y. Quintana, W. Ramírez, A. Urieles, Generalized Apostol-type polynomial matrix and its algebraic properties, Math. Repor., 21(2):249–264, 2019.[14] Y. Quintana, W. Ramírez, A. Urieles, On an operational matrix method based on generalized Bernoulli polynomials of level m, Calcolo, 53:1–30, 2018.[15] W. Ramírez, L. Castilla, A. Urieles, An extended generalized q-extensions for the Apostol-type polynomials, Abs. and Appl. An., 1–13, 2018.[16] E. Rainville, Special Functions, Reprint of 1960, 1st Edition. Chelsea Publishig Co., Bronx, New York,1971.[17] H.M. Srivastava, J. Choi, Series associated with the Zeta and related functions, Springer, Dordrecht, Netherlands, 2001.[18] H.M. Srivastava, J. Choi, Zeta and q-Zeta functions and associated series and integrals, Elsevier, London, 2012.[19] K. Subuhi, N. Tabinda,R. Mumtaz, On degenerate Apostol-type polynomials and applications, Bol. de la Soc. Mat. Mex., 509–528, 2018.[20] K. Waseem, A note on degenerate Hermite poly–Bernoulli numbers and polynomials, Journal of Classical Analysis, 8:65–76, 2016.[21] K. Waseem, Degenerate Hermite–Bernoulli Numbers and Polynomials of the second kind, Presp. J., 7:1200–1208, 2016.[22] K. Waseem, A new class of degenerate Frobenius Euler–Hermite polynomials, Ad. St. in Cont. Math., 28:567–576, 2018.10115Function methods.ResultsORIGINALA new class of degenerate Apostol.pdfA new class of degenerate Apostol.pdfapplication/pdf231351https://repositorio.cuc.edu.co/bitstream/11323/9425/1/A%20new%20class%20of%20degenerate%20Apostol.pdfe7f4debebe3f5ce09b737b6fa12527cfMD51open accessLICENSElicense.txtlicense.txttext/plain; charset=utf-83196https://repositorio.cuc.edu.co/bitstream/11323/9425/2/license.txte30e9215131d99561d40d6b0abbe9badMD52open accessTEXTA new class of degenerate Apostol.pdf.txtA new class of degenerate Apostol.pdf.txttext/plain22640https://repositorio.cuc.edu.co/bitstream/11323/9425/3/A%20new%20class%20of%20degenerate%20Apostol.pdf.txtc590e13f2041c40f4e1f50c03a31a56aMD53open accessTHUMBNAILA new class of degenerate Apostol.pdf.jpgA new class of degenerate Apostol.pdf.jpgimage/jpeg11822https://repositorio.cuc.edu.co/bitstream/11323/9425/4/A%20new%20class%20of%20degenerate%20Apostol.pdf.jpge037c947905d0355da51f0725120494aMD54open access11323/9425oai:repositorio.cuc.edu.co:11323/94252023-12-14 17:00:56.468An error occurred on the license name.\|\|\|https://creativecommons.org/licenses/by/4.0/open accessRepositorio Universidad de La 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A new class of degenerate Apostol-type Hermite polynomials and applications

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