Pretraga

Pretražite po imenu i prezimenu autora, mentora, urednika, prevoditelja

Napredna pretraga

Pregled bibliografske jedinice broj: 392275

Extension of a quadratic transformation due to Exton

Poganj, Tibor; Arjun K. Rathie
Extension of a quadratic transformation due to Exton // Applied Mathematics and Computation, 215 (2009), 1; 423-426 doi:10.1016/j.amc.2009.04.071 (međunarodna recenzija, članak, znanstveni)

CROSBI ID: 392275 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

Naslov
Extension of a quadratic transformation due to Exton

Autori
Poganj, Tibor ; Arjun K. Rathie

Izvornik
Applied Mathematics and Computation (0096-3003) 215 (2009), 1; 423-426

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

Ključne riječi
Quadratic transformation; hypergeometric function of order two; Kummer--type transformations; Bailey's transform

Sažetak
By applying various known summation theorems to a general formula based upon Bailey's transform theorem due to Slater, Exton has obtained numerous new quadratic transformations involving hypergeometric functions of two and of higher order. Some of the results have typographical errors and have been corrected recently by Choi and Rathie. In addition, two new quadratic transformation formul{; ; ; \ae}; ; ; were also obtained in [Junesang Choi, A.K. Rathie, Quadratic transformations involving hypergeometric functions of two and higher order. EAMJ, East Asian Math. J. 22:71--77 (2006)]. The aim of this research paper is to obtain a generalization of one of the Exton's quadratic transformation. The results are derived with the help of generalized Kummer's theorem obtained earlier by Lavoie, Grondin and Rathie. As special cases, we mention six interesting results closely related to that of Exton's result.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA

Projekti:
112-2352818-2814 - Redovi uzorkovanja, Mathieuovi redovi i specijalne funkcije

Ustanove:
Pomorski fakultet, Rijeka

Profili:

Avatar Url Tibor Poganj (autor)

Poveznice na cjeloviti tekst rada:

doi www.sciencedirect.com

Citiraj ovu publikaciju:

Poganj, Tibor; Arjun K. Rathie
Extension of a quadratic transformation due to Exton // Applied Mathematics and Computation, 215 (2009), 1; 423-426 doi:10.1016/j.amc.2009.04.071 (međunarodna recenzija, članak, znanstveni)
Poganj, T. & Arjun K. Rathie (2009) Extension of a quadratic transformation due to Exton. Applied Mathematics and Computation, 215 (1), 423-426 doi:10.1016/j.amc.2009.04.071.
@article{article, author = {Poganj, Tibor}, year = {2009}, pages = {423-426}, DOI = {10.1016/j.amc.2009.04.071}, keywords = {Quadratic transformation, hypergeometric function of order two, Kummer--type transformations, Bailey's transform}, journal = {Applied Mathematics and Computation}, doi = {10.1016/j.amc.2009.04.071}, volume = {215}, number = {1}, issn = {0096-3003}, title = {Extension of a quadratic transformation due to Exton}, keyword = {Quadratic transformation, hypergeometric function of order two, Kummer--type transformations, Bailey's transform} }
@article{article, author = {Poganj, Tibor}, year = {2009}, pages = {423-426}, DOI = {10.1016/j.amc.2009.04.071}, keywords = {Quadratic transformation, hypergeometric function of order two, Kummer--type transformations, Bailey's transform}, journal = {Applied Mathematics and Computation}, doi = {10.1016/j.amc.2009.04.071}, volume = {215}, number = {1}, issn = {0096-3003}, title = {Extension of a quadratic transformation due to Exton}, keyword = {Quadratic transformation, hypergeometric function of order two, Kummer--type transformations, Bailey's transform} }

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::


  • Compu-Math Citation Index
  • MathSciNet
  • Zentrallblatt für Mathematik/Mathematical Abstracts

Citati:

    Altmetrijski pokazatelji:


    Podijeli:





    Contrast
    Increase Font
    Decrease Font
    Dyslexic Font
    CROSBI koristi kolačiće (cookies) kako bi poboljšao funkcionalnost stranice.