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Pregled bibliografske jedinice broj: 576456

Integral expressions for Hilbert-type infinite multilinear form and related multiple Hurwitz-Lerch Zeta functions

Saxena, Ram Kishore; Poganj, Tibor
Integral expressions for Hilbert-type infinite multilinear form and related multiple Hurwitz-Lerch Zeta functions // Journal of interpolation and approximation in scientific computing, 2012 (2012), 1-12 doi:10.5899/2012/jiasc-00006 (podatak o recenziji nije dostupan, članak, znanstveni)

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Naslov
Integral expressions for Hilbert-type infinite multilinear form and related multiple Hurwitz-Lerch Zeta functions

Autori
Saxena, Ram Kishore ; Poganj, Tibor

Izvornik
Journal of interpolation and approximation in scientific computing (2194-3907) 2012 (2012); 1-12

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

Ključne riječi
Multiple Hurwitz-Lerch Zeta function ; Hilbert-type infinite multilinear form ; Multiple Hurwitz-Lerch Zeta power series ; Tornheim's double sum ; Mordell-Witten Zeta function ; Matsumoto's multiple Mordell-Tornheim Zeta function ; Dirichlet-series ; Cahen's Laplace integral formula ; Mellin-Barnes type integral

Sažetak
The article deals with different kinds integral expressions concerning multiple Hurwitz-Lerch Zeta function (introduced originally by Barnes [4]), Hilbert-type infinite multilinear form and its power series extension. Here Laplace integral forms and multiple Mellin-Barnes type integral representation are derived for these special functions. As a special cases of our investigati- ons we deduce the integral expressions for the Matsumoto's multiple Mordell-Tornheim Zeta function, that is, for Tornheim's double sum i.e. Mordell-Witten Zeta, for the multiple Hurwitz Zeta and for the multiple Hurwitz-Euler Eta function, recently studied by Choi and Srivastava [22].

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)

Poveznice na cjeloviti tekst rada:

doi ispacs.com ispacs.com

Citiraj ovu publikaciju:

Saxena, Ram Kishore; Poganj, Tibor
Integral expressions for Hilbert-type infinite multilinear form and related multiple Hurwitz-Lerch Zeta functions // Journal of interpolation and approximation in scientific computing, 2012 (2012), 1-12 doi:10.5899/2012/jiasc-00006 (podatak o recenziji nije dostupan, članak, znanstveni)
Saxena, R. & Poganj, T. (2012) Integral expressions for Hilbert-type infinite multilinear form and related multiple Hurwitz-Lerch Zeta functions. Journal of interpolation and approximation in scientific computing, 2012, 1-12 doi:10.5899/2012/jiasc-00006.
@article{article, author = {Saxena, Ram Kishore and Poganj, Tibor}, year = {2012}, pages = {1-12}, DOI = {10.5899/2012/jiasc-00006}, keywords = {Multiple Hurwitz-Lerch Zeta function, Hilbert-type infinite multilinear form, Multiple Hurwitz-Lerch Zeta power series, Tornheim's double sum, Mordell-Witten Zeta function, Matsumoto's multiple Mordell-Tornheim Zeta function, Dirichlet-series, Cahen's Laplace integral formula, Mellin-Barnes type integral}, journal = {Journal of interpolation and approximation in scientific computing}, doi = {10.5899/2012/jiasc-00006}, volume = {2012}, issn = {2194-3907}, title = {Integral expressions for Hilbert-type infinite multilinear form and related multiple Hurwitz-Lerch Zeta functions}, keyword = {Multiple Hurwitz-Lerch Zeta function, Hilbert-type infinite multilinear form, Multiple Hurwitz-Lerch Zeta power series, Tornheim's double sum, Mordell-Witten Zeta function, Matsumoto's multiple Mordell-Tornheim Zeta function, Dirichlet-series, Cahen's Laplace integral formula, Mellin-Barnes type integral} }
@article{article, author = {Saxena, Ram Kishore and Poganj, Tibor}, year = {2012}, pages = {1-12}, DOI = {10.5899/2012/jiasc-00006}, keywords = {Multiple Hurwitz-Lerch Zeta function, Hilbert-type infinite multilinear form, Multiple Hurwitz-Lerch Zeta power series, Tornheim's double sum, Mordell-Witten Zeta function, Matsumoto's multiple Mordell-Tornheim Zeta function, Dirichlet-series, Cahen's Laplace integral formula, Mellin-Barnes type integral}, journal = {Journal of interpolation and approximation in scientific computing}, doi = {10.5899/2012/jiasc-00006}, volume = {2012}, issn = {2194-3907}, title = {Integral expressions for Hilbert-type infinite multilinear form and related multiple Hurwitz-Lerch Zeta functions}, keyword = {Multiple Hurwitz-Lerch Zeta function, Hilbert-type infinite multilinear form, Multiple Hurwitz-Lerch Zeta power series, Tornheim's double sum, Mordell-Witten Zeta function, Matsumoto's multiple Mordell-Tornheim Zeta function, Dirichlet-series, Cahen's Laplace integral formula, Mellin-Barnes type integral} }

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