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Pregled bibliografske jedinice broj: 513620

Two-Sided Inequalities for the Extended Hurwitz-Lerch Zeta Function

Srivastava, Hari M.; Jankov, Dragana; Poganj, Tibor; Saxena, Ram K.
Two-Sided Inequalities for the Extended Hurwitz-Lerch Zeta Function // Computers & mathematics with applications, 62 (2011), 1; 516-522 doi:10.1016/j.camwa.2011.05.035 (međunarodna recenzija, članak, znanstveni)

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Naslov
Two-Sided Inequalities for the Extended Hurwitz-Lerch Zeta Function

Autori
Srivastava, Hari M. ; Jankov, Dragana ; Poganj, Tibor ; Saxena, Ram K.

Izvornik
Computers & mathematics with applications (0898-1221) 62 (2011), 1; 516-522

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

Ključne riječi
Extended Hurwitz-Lerch Zeta function; Fox-Wright ${;; };; _p\Psi_q^*$ function; Hypergeometric ${;; };; _pF_q$ function; Integral representations; Mathieu $(a; \lambda)$-series techniques; Psi (or Digamma) function; Euler-Mascheroni constant; Harmonic numbers; Two-sided bounding inequalities.

Sažetak
Recently, Srivastava et al \cite{; ; SSPS}; ; unified and extended several interesting generali-zations of the familiar Hurwitz-Lerch Zeta function $\Phi(z, s, a)$ by introducing a Fox-Wright type generalized hypergeometric function in the kernel. For this newly introduced special function, two integral representations of different kind are investigated here by means a known result involving a Fox-Wright generalized hypergeometric function kernel, which was given earlier by Srivastava et al. \cite{; ; SSPS}; ; , and by applying some Mathieu $(a, \lambda)$-series techniques. Finally, by appealing to each of these two integral representations, two sets of two-sided bounding inequalities are proved, thereby extending and generalizing the recent work by Jankov et al. \cite{; ; JPS}; ; .

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA

Projekti:
112-1121722-3314 - Informacijsko-komunikacijske tehnologije u inteligentnim pomorskim sustavima (Tomas, Vinko, MZOS ) ( CroRIS)
235-2352818-1039 - Statistički aspekti problema procjene u nelinearnim parametarskim modelima (Benšić, Mirta, MZOS ) ( CroRIS)

Ustanove:
Pomorski fakultet, Rijeka,
Sveučilište u Osijeku, Odjel za matematiku

Profili:

Avatar Url Tibor Poganj (autor)

Avatar Url Dragana Jankov Maširević (autor)

Poveznice na cjeloviti tekst rada:

doi www.sciencedirect.com pdn.sciencedirect.com dx.doi.org

Citiraj ovu publikaciju:

Srivastava, Hari M.; Jankov, Dragana; Poganj, Tibor; Saxena, Ram K.
Two-Sided Inequalities for the Extended Hurwitz-Lerch Zeta Function // Computers & mathematics with applications, 62 (2011), 1; 516-522 doi:10.1016/j.camwa.2011.05.035 (međunarodna recenzija, članak, znanstveni)
Srivastava, H., Jankov, D., Poganj, T. & Saxena, R. (2011) Two-Sided Inequalities for the Extended Hurwitz-Lerch Zeta Function. Computers & mathematics with applications, 62 (1), 516-522 doi:10.1016/j.camwa.2011.05.035.
@article{article, author = {Srivastava, Hari M. and Jankov, Dragana and Poganj, Tibor and Saxena, Ram K.}, year = {2011}, pages = {516-522}, DOI = {10.1016/j.camwa.2011.05.035}, keywords = {Extended Hurwitz-Lerch Zeta function, Fox-Wright ${, , }, , \_p\Psi\_q\^{}\ast$ function, Hypergeometric ${, , }, , \_pF\_q$ function, Integral representations, Mathieu $(a, \lambda)$-series techniques, Psi (or Digamma) function, Euler-Mascheroni constant, Harmonic numbers, Two-sided bounding inequalities.}, journal = {Computers and mathematics with applications}, doi = {10.1016/j.camwa.2011.05.035}, volume = {62}, number = {1}, issn = {0898-1221}, title = {Two-Sided Inequalities for the Extended Hurwitz-Lerch Zeta Function}, keyword = {Extended Hurwitz-Lerch Zeta function, Fox-Wright ${, , }, , \_p\Psi\_q\^{}\ast$ function, Hypergeometric ${, , }, , \_pF\_q$ function, Integral representations, Mathieu $(a, \lambda)$-series techniques, Psi (or Digamma) function, Euler-Mascheroni constant, Harmonic numbers, Two-sided bounding inequalities.} }
@article{article, author = {Srivastava, Hari M. and Jankov, Dragana and Poganj, Tibor and Saxena, Ram K.}, year = {2011}, pages = {516-522}, DOI = {10.1016/j.camwa.2011.05.035}, keywords = {Extended Hurwitz-Lerch Zeta function, Fox-Wright ${, , }, , \_p\Psi\_q\^{}\ast$ function, Hypergeometric ${, , }, , \_pF\_q$ function, Integral representations, Mathieu $(a, \lambda)$-series techniques, Psi (or Digamma) function, Euler-Mascheroni constant, Harmonic numbers, Two-sided bounding inequalities.}, journal = {Computers and mathematics with applications}, doi = {10.1016/j.camwa.2011.05.035}, volume = {62}, number = {1}, issn = {0898-1221}, title = {Two-Sided Inequalities for the Extended Hurwitz-Lerch Zeta Function}, keyword = {Extended Hurwitz-Lerch Zeta function, Fox-Wright ${, , }, , \_p\Psi\_q\^{}\ast$ function, Hypergeometric ${, , }, , \_pF\_q$ function, Integral representations, Mathieu $(a, \lambda)$-series techniques, Psi (or Digamma) function, Euler-Mascheroni constant, Harmonic numbers, Two-sided bounding inequalities.} }

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
  • Referatinij Zhurba Matematika

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