Pretraga

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

Napredna pretraga

Pregled bibliografske jedinice broj: 522732

Integral and computational representation of summation which extends a Ramanujan's sum

Poganj, Tibor; Rathie, Arjun Kumar; Ali, Shoukat
Integral and computational representation of summation which extends a Ramanujan's sum // Matematički vesnik, 64 (2012), 3; 240-245 (međunarodna recenzija, članak, znanstveni)

CROSBI ID: 522732 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

Naslov
Integral and computational representation of summation which extends a Ramanujan's sum

Autori
Poganj, Tibor ; Rathie, Arjun Kumar ; Ali, Shoukat

Izvornik
Matematički vesnik (0025-5165) 64 (2012), 3; 240-245

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

Ključne riječi
Ramanujan's summation formula ; Generalized hypergeometric functions ${; ; ; ; }; ; ; ; _pF_q$ ; Mellin-Barnes type path integral ; Hurwitz-Lerch Zeta function ; Computational representation.

Sažetak
A generalized sum, which contains Ramanujan's summation formula recorded in Hardy's article [1] as a special case, has been represented in the form of Mellin-Barnes type contour integral. Computational representation formula is derived for this summation in terms of the unified Hurwitz-Lerch Zeta function.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA

Projekti:
112-1121722-3314 - Informacijsko-komunikacijske tehnologije u inteligentnim pomorskim sustavima (Tomas, Vinko, MZOS ) ( CroRIS)

Ustanove:
Pomorski fakultet, Rijeka

Profili:

Avatar Url Tibor Poganj (autor)

www.emis.de www.emis.de

Citiraj ovu publikaciju:

Poganj, Tibor; Rathie, Arjun Kumar; Ali, Shoukat
Integral and computational representation of summation which extends a Ramanujan's sum // Matematički vesnik, 64 (2012), 3; 240-245 (međunarodna recenzija, članak, znanstveni)
Poganj, T., Rathie, A. & Ali, S. (2012) Integral and computational representation of summation which extends a Ramanujan's sum. Matematički vesnik, 64 (3), 240-245.
@article{article, author = {Poganj, Tibor and Rathie, Arjun Kumar and Ali, Shoukat}, year = {2012}, pages = {240-245}, keywords = {Ramanujan's summation formula, Generalized hypergeometric functions ${, , , , }, , , , \_pF\_q$, Mellin-Barnes type path integral, Hurwitz-Lerch Zeta function, Computational representation.}, journal = {Matemati\v{c}ki vesnik}, volume = {64}, number = {3}, issn = {0025-5165}, title = {Integral and computational representation of summation which extends a Ramanujan's sum}, keyword = {Ramanujan's summation formula, Generalized hypergeometric functions ${, , , , }, , , , \_pF\_q$, Mellin-Barnes type path integral, Hurwitz-Lerch Zeta function, Computational representation.} }
@article{article, author = {Poganj, Tibor and Rathie, Arjun Kumar and Ali, Shoukat}, year = {2012}, pages = {240-245}, keywords = {Ramanujan's summation formula, Generalized hypergeometric functions ${, , , , }, , , , \_pF\_q$, Mellin-Barnes type path integral, Hurwitz-Lerch Zeta function, Computational representation.}, journal = {Matemati\v{c}ki vesnik}, volume = {64}, number = {3}, issn = {0025-5165}, title = {Integral and computational representation of summation which extends a Ramanujan's sum}, keyword = {Ramanujan's summation formula, Generalized hypergeometric functions ${, , , , }, , , , \_pF\_q$, Mellin-Barnes type path integral, Hurwitz-Lerch Zeta function, Computational representation.} }

Časopis indeksira:


  • Scopus

Uključenost u ostale bibliografske baze podataka::


  • MathSciNet
  • Zentrallblatt für Mathematik/Mathematical Abstracts
  • Referativnij Zhurnal Matematika

Podijeli:





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