Page 1
Kohji Matsumoto, Yoshio Tanigawa (2003)
Journal de théorie des nombres de Bordeaux
Multiple Dirichlet series of several complex variables are considered. Using the Mellin-Barnes integral formula, we prove the analytic continuation and an upper bound estimate.
P.L. Walker (1980)
Mathematische Annalen
Kimio Ueno, Michitomo Nishizawa (1997)
Banach Center Publications
We give an asymptotic expansion (the higher Stirling formula) and an infinite product representation (the Weierstrass product formula) of the Vignéras multiple gamma function by considering the classical limit of the multiple q-gamma function.
P. I. Pastro (1983)
Rendiconti del Seminario Matematico della Università di Padova
Daniel S. Moak (1980)
Aequationes mathematicae
Daniel S. Moak (1980)
Aequationes mathematicae
Eric Stade (1994)
Annales de l'institut Fourier
In this paper we derive, using the Gauss summation theorem for hypergeometric series, a simple integral expression for the reciprocal of Euler’s beta function. This expression is similar in form to several well-known integrals for the beta function itself.We then apply our new formula to the study of Whittaker functions, which are special functions that arise in the Fourier theory for automorphic forms on the general linear group. Specifically, we deduce explicit integral representations of “fundamental”...
Andrea Ossicini (2005)
Kragujevac Journal of Mathematics
Andrea Ossicini (2006)
Kragujevac Journal of Mathematics
Andrea Ossicini (2008)
Kragujevac Journal of Mathematics
John Greene, Dennis Stanton (1986)
Aequationes mathematicae
Huizeng Qin, Ovidiu Furdui (2015)
Open Mathematics
In this paper we solve three open problems and a conjecture related to the calculations of some classes of multiple series posed by Furdui in [1].
Daniel Bertrand (1975/1976)
Séminaire Delange-Pisot-Poitou. Théorie des nombres
M. Ram Murty, N. Saradha (2008)
Acta Arithmetica
Laforgia, Andrea, Natalini, P. (2006)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
Page 1