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Pregled bibliografske jedinice broj: 1264654

On Mathieu-type series with (p, nu)-extended hypergeometric terms. Integral representations and upper bounds


Parmar, Rakesh K.; Poganj, Tibor; Saravanan S.
On Mathieu-type series with (p, nu)-extended hypergeometric terms. Integral representations and upper bounds // Mathematics, 11 (2023), 7; 1710, 11 doi:10.3390/math11071710 (međunarodna recenzija, članak, znanstveni)


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Naslov
On Mathieu-type series with (p, nu)-extended hypergeometric terms. Integral representations and upper bounds

Autori
Parmar, Rakesh K. ; Poganj, Tibor ; Saravanan S.

Izvornik
Mathematics (2227-7390) 11 (2023), 7; 1710, 11

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

Ključne riječi
(p, nu)-extended Beta function ; (p, nu)-extended Gauss hypergeometric function ; (p, nu)-extended confluent hypergeometric function ; (p, nu)-extended Mathieu-type series ; modified Bessel function of the second kind ; bounding inequalities for (p, nu)-extended Mathieu-type series

Sažetak
Integral form expressions are obtained for the Mathieu-type series and for their associated alternating versions whose terms contain a (p, nu)- extended Gauss hypergeometric function. Contiguous recurrence relations are found for the Mathieu- type series with respect to two parameters and finally, particular cases and related bounding inequalities are established.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Ustanove:
Pomorski fakultet, Rijeka

Profili:

Avatar Url Tibor Poganj (autor)

Poveznice na cjeloviti tekst rada:

doi www.mdpi.com

Citiraj ovu publikaciju:

Parmar, Rakesh K.; Poganj, Tibor; Saravanan S.
On Mathieu-type series with (p, nu)-extended hypergeometric terms. Integral representations and upper bounds // Mathematics, 11 (2023), 7; 1710, 11 doi:10.3390/math11071710 (međunarodna recenzija, članak, znanstveni)
Parmar, R., Poganj, T. & Saravanan S. (2023) On Mathieu-type series with (p, nu)-extended hypergeometric terms. Integral representations and upper bounds. Mathematics, 11 (7), 1710, 11 doi:10.3390/math11071710.
@article{article, author = {Parmar, Rakesh K. and Poganj, Tibor}, year = {2023}, pages = {11}, DOI = {10.3390/math11071710}, chapter = {1710}, keywords = {(p, nu)-extended Beta function, (p, nu)-extended Gauss hypergeometric function, (p, nu)-extended confluent hypergeometric function, (p, nu)-extended Mathieu-type series, modified Bessel function of the second kind, bounding inequalities for (p, nu)-extended Mathieu-type series}, journal = {Mathematics}, doi = {10.3390/math11071710}, volume = {11}, number = {7}, issn = {2227-7390}, title = {On Mathieu-type series with (p, nu)-extended hypergeometric terms. Integral representations and upper bounds}, keyword = {(p, nu)-extended Beta function, (p, nu)-extended Gauss hypergeometric function, (p, nu)-extended confluent hypergeometric function, (p, nu)-extended Mathieu-type series, modified Bessel function of the second kind, bounding inequalities for (p, nu)-extended Mathieu-type series}, chapternumber = {1710} }
@article{article, author = {Parmar, Rakesh K. and Poganj, Tibor}, year = {2023}, pages = {11}, DOI = {10.3390/math11071710}, chapter = {1710}, keywords = {(p, nu)-extended Beta function, (p, nu)-extended Gauss hypergeometric function, (p, nu)-extended confluent hypergeometric function, (p, nu)-extended Mathieu-type series, modified Bessel function of the second kind, bounding inequalities for (p, nu)-extended Mathieu-type series}, journal = {Mathematics}, doi = {10.3390/math11071710}, volume = {11}, number = {7}, issn = {2227-7390}, title = {On Mathieu-type series with (p, nu)-extended hypergeometric terms. Integral representations and upper bounds}, keyword = {(p, nu)-extended Beta function, (p, nu)-extended Gauss hypergeometric function, (p, nu)-extended confluent hypergeometric function, (p, nu)-extended Mathieu-type series, modified Bessel function of the second kind, bounding inequalities for (p, nu)-extended Mathieu-type series}, chapternumber = {1710} }

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


Uključenost u ostale bibliografske baze podataka::


  • MathSciNet
  • Zentrallblatt für Mathematik/Mathematical Abstracts


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