Pregled bibliografske jedinice broj: 1264654
On Mathieu-type series with (p, nu)-extended hypergeometric terms. Integral representations and upper bounds
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)
CROSBI ID: 1264654 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
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
Citiraj ovu publikaciju:
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