About: Gimel function is a research topic. Over the lifetime, 33 publications have been published within this topic receiving 52 citations. The topic is also known as: ℷ.
TL;DR: In this paper, some transformations, summation formulae and identities for multivariable Gimel functions have been evaluated and new relations may be derived as particular cases, which are known identities.
Abstract: In this paper, some transformations, summation formulae and identities for multivariable Gimel-function have been evaluated. Many new relations may be derived as particular cases, which are known identities.
TL;DR: In this article, the generalized prolate spheroidal wave function, generalized hypergeometric function, class of multivariable polynomials and the multiivariable Gimel-function were employed for heat conduction in an anisotropic material.
Abstract: Gupta [5] and Gupta et al. [6] have studied the application of generalized prolate spheroidal wave function, generalized polynomials, and the multivariable H-function in heat conduction. In this paper we employ the generalized prolate spheroidal wave function, generalized hypergeometric function, class of multivariable polynomials and the multivariable Gimel-function in heat conduction in obtaining the formal solution of partial differential equation related to a problem of heat conduction in an anisotropic material. This problem occurs mainly in mechanics of solids, physics and applied mathematics.
TL;DR: In this paper, a double Fourier Cosine-Jacobi series for the generalized multivariable Gimel function is presented, which is a special case of the cosine Jacobi series.
Abstract: In this paper, we present a double Fourier Cosine-Jacobi series for the generalized multivariable Gimel-function.