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Pregled bibliografske jedinice broj: 1110602

Multi-parameter Mathieu, and alternating Mathieu series

Parmar, Rakesh K.; Milovanović, Gradimir V.; Poganj, Tibor
Multi-parameter Mathieu, and alternating Mathieu series // Applied mathematics and computation, 400 (2021), 1-27 doi:10.1016/j.amc.2021.126099 (međunarodna recenzija, članak, znanstveni)

CROSBI ID: 1110602 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

Naslov
Multi-parameter Mathieu, and alternating Mathieu series

Autori
Parmar, Rakesh K. ; Milovanović, Gradimir V. ; Poganj, Tibor

Izvornik
Applied mathematics and computation (0096-3003) 400 (2021); 1-27

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Mathieu and alternating Mathieu series ; Lauricella’s hypergeometric functions ; Generalized Weber-Schafheitlin integral ; Riemann Zeta function ; Dirichlet Eta function ; Laplace transform ; Mellin transform ; Functional bounding inequalities ; log-convexity ; Turán inequality

Sažetak
The main purpose of this paper is to present a multi-parameter study of the familiar Mathieu series and the alternating Mathieu series S(r) and S^tilde(r). The computable series expansions of the their related integral representations are obtained in terms of higher transcendental hypergeometric functions like Lauricella's hypergeometric function F_C^(m)[x], Fox-Wright Psi function, Srivastava- Daoust generalized Lauricella function, Riemann Zeta and Dirichlet Eta functions, while the extensions concern products of Bessel and modified Bessel functions of the first kind, hyper-Bessel and Bessel- Clifford functions. Auxiliary Laplace-Mellin transforms, bounding inequalities for the hyper- Bessel and Bessel- Clifford functions are established - which are also of independent but considerable interest. A set of bounding inequalities are presented either for the hyper- Bessel and Bessel-Clifford functions which are to our best knowledge new, or also for all considered extended Mathieu-type series. Next, functional bounding inequalities, log-convexity properties and Turán inequality results are presented for the investigated extensions of multi-parameter Mathieu-type series. We end the exposition by a thorough discussion closes the exposition including important details, bridges to occurring new questions like the similar kind multi- parameter treatment of the complete Butzer-Flocke- Hauss Omega function which is intimately connected with the Mathieu series family.

Izvorni jezik
Engleski

Znanstvena područja
Matematika, Tehnologija prometa i transport



POVEZANOST RADA

Projekti:
NadSve-Sveučilište u Rijeci-uniri-pr-prirod-19-16 - Stohastičke metode u matematičkoj analizi (Krizmanić, Danijel, NadSve - UNIRI-plus projekti 2018) ( CroRIS)
--uniri-technic - Istraživanje okolišnih utjecaja na rad satelitskih navigacijskih sustava u pomorskoj navigaciji (Brčić, David) ( CroRIS)

Ustanove:
Pomorski fakultet, Rijeka

Profili:

Avatar Url Tibor Poganj (autor)

Poveznice na cjeloviti tekst rada:

doi www.journals.elsevier.com

Citiraj ovu publikaciju:

Parmar, Rakesh K.; Milovanović, Gradimir V.; Poganj, Tibor
Multi-parameter Mathieu, and alternating Mathieu series // Applied mathematics and computation, 400 (2021), 1-27 doi:10.1016/j.amc.2021.126099 (međunarodna recenzija, članak, znanstveni)
Parmar, R., Milovanović, G. & Poganj, T. (2021) Multi-parameter Mathieu, and alternating Mathieu series. Applied mathematics and computation, 400, 1-27 doi:10.1016/j.amc.2021.126099.
@article{article, author = {Parmar, Rakesh K. and Milovanovi\'{c}, Gradimir V. and Poganj, Tibor}, year = {2021}, pages = {1-27}, DOI = {10.1016/j.amc.2021.126099}, keywords = {Mathieu and alternating Mathieu series, Lauricella’s hypergeometric functions, Generalized Weber-Schafheitlin integral, Riemann Zeta function, Dirichlet Eta function, Laplace transform, Mellin transform, Functional bounding inequalities, log-convexity, Tur\'{a}n inequality}, journal = {Applied mathematics and computation}, doi = {10.1016/j.amc.2021.126099}, volume = {400}, issn = {0096-3003}, title = {Multi-parameter Mathieu, and alternating Mathieu series}, keyword = {Mathieu and alternating Mathieu series, Lauricella’s hypergeometric functions, Generalized Weber-Schafheitlin integral, Riemann Zeta function, Dirichlet Eta function, Laplace transform, Mellin transform, Functional bounding inequalities, log-convexity, Tur\'{a}n inequality} }
@article{article, author = {Parmar, Rakesh K. and Milovanovi\'{c}, Gradimir V. and Poganj, Tibor}, year = {2021}, pages = {1-27}, DOI = {10.1016/j.amc.2021.126099}, keywords = {Mathieu and alternating Mathieu series, Lauricella’s hypergeometric functions, Generalized Weber-Schafheitlin integral, Riemann Zeta function, Dirichlet Eta function, Laplace transform, Mellin transform, Functional bounding inequalities, log-convexity, Tur\'{a}n inequality}, journal = {Applied mathematics and computation}, doi = {10.1016/j.amc.2021.126099}, volume = {400}, issn = {0096-3003}, title = {Multi-parameter Mathieu, and alternating Mathieu series}, keyword = {Mathieu and alternating Mathieu series, Lauricella’s hypergeometric functions, Generalized Weber-Schafheitlin integral, Riemann Zeta function, Dirichlet Eta function, Laplace transform, Mellin transform, Functional bounding inequalities, log-convexity, Tur\'{a}n inequality} }

Časopis indeksira:


  • Current Contents Connect (CCC)
  • Web of Science Core Collection (WoSCC)
    • Science Citation Index Expanded (SCI-EXP)
    • SCI-EXP, SSCI i/ili A&HCI
  • Scopus

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  • Referativnij Zhurnal Matematika

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