We prove a generalization of Iseki\u27s transformation formula, which is basically a transformation formula for infinite products with certain variable exponents. We note that an infinite number of transformation formulae may be derived from this generalization and, as a corollary, a particular case is give
MSC 2010: 30A10, 30B10, 30B30, 30B50, 30D15, 33E12In studying the behaviour of series, defined by me...
We prove some generalizations of the sum formula for multiple zeta values by using Hiroyuki Ochiai's...
In the paper, by virtue of the convolution theorem for the Laplace transforms, with the aid of three...
We prove a generalization of Iseki's transformation formula, which is basically a transformation for...
We prove a generalization of Iseki\u27s transformation formula, which is basically a transformation ...
summary:We give higher-power generalizations of the classical Lerch formula for the gamma function
AbstractIn this paper we give a new proof of Ramanujanʼs continued fraction involving the Gamma func...
In this paper we obtain explicit formulas for mock theta functions $\Phi^{[m,s]}(\tau, z_1, z_2,t)$ ...
We consider some finite binomial sums involving the derivatives of the binomial coefficient and deve...
We present a new proof of the transformation laws of theta 1 under the action of the generator of th...
AbstractIn this note, we make a correction of the imaginary transformation formula of Chan and Liuʼs...
It is shown that, somewhat similar to the case of classical Baecklund transformations for surfaces o...
AbstractThe transformation formulas of Ramanujan, Hardy, Koshliakov and Ferrar are unified, in the s...
A generalization is provided for a reduction formula for the Kampe de Feriet function due to Cvijovi...
Mathematics Subject Classification: Primary 33E20, 44A10; Secondary 33C10, 33C20, 44A20By using inte...
MSC 2010: 30A10, 30B10, 30B30, 30B50, 30D15, 33E12In studying the behaviour of series, defined by me...
We prove some generalizations of the sum formula for multiple zeta values by using Hiroyuki Ochiai's...
In the paper, by virtue of the convolution theorem for the Laplace transforms, with the aid of three...
We prove a generalization of Iseki's transformation formula, which is basically a transformation for...
We prove a generalization of Iseki\u27s transformation formula, which is basically a transformation ...
summary:We give higher-power generalizations of the classical Lerch formula for the gamma function
AbstractIn this paper we give a new proof of Ramanujanʼs continued fraction involving the Gamma func...
In this paper we obtain explicit formulas for mock theta functions $\Phi^{[m,s]}(\tau, z_1, z_2,t)$ ...
We consider some finite binomial sums involving the derivatives of the binomial coefficient and deve...
We present a new proof of the transformation laws of theta 1 under the action of the generator of th...
AbstractIn this note, we make a correction of the imaginary transformation formula of Chan and Liuʼs...
It is shown that, somewhat similar to the case of classical Baecklund transformations for surfaces o...
AbstractThe transformation formulas of Ramanujan, Hardy, Koshliakov and Ferrar are unified, in the s...
A generalization is provided for a reduction formula for the Kampe de Feriet function due to Cvijovi...
Mathematics Subject Classification: Primary 33E20, 44A10; Secondary 33C10, 33C20, 44A20By using inte...
MSC 2010: 30A10, 30B10, 30B30, 30B50, 30D15, 33E12In studying the behaviour of series, defined by me...
We prove some generalizations of the sum formula for multiple zeta values by using Hiroyuki Ochiai's...
In the paper, by virtue of the convolution theorem for the Laplace transforms, with the aid of three...
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