Results 21 to 30 of about 33,268 (232)
The variational iteration method is applied to solve a class of nonlinear singular boundary value problems that arise in physiology. The process of the method, which produces solutions in terms of convergent series, is explained. The Lagrange multipliers
Marwan Abukhaled
doaj +1 more source
Generalized Fractional Integral Operators Involving Mittag-Leffler Function
The aim of this paper is to study various properties of Mittag-Leffler (M-L) function. Here we establish two theorems which give the image of this M-L function under the generalized fractional integral operators involving Fox’s H-function as kernel ...
Hafte Amsalu, D. L. Suthar
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On the composition series of the standard Whittaker (g,K)-modules
For a real reductive linear Lie group G, the space of Whittaker functions is the representation space induced from a non-degenerate unitary character of the Iwasawa nilpotent subgroup.
Taniguchi, Kenji
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Whittaker's Work on the Integral Representation of Harmonic Functions [PDF]
It is a singular honour to be invited to deliver a lecture commemorating the work of Sir Edmund Whittaker, especially before the Edinburgh Mathematical Society, whose development owes so much to his initiative and co-operation. But when I reflect on the difficulties of the task I can only exclaim in the words of St Jerome's preface to his translation ...
openaire +1 more source
Inhomogeneous Whittaker Equation with Initial and Boundary Conditions
In this study, a semi-analytical solution to the inhomogeneous Whittaker equation is developed for both initial and boundary value problems. A new class of special integral functions Ziκ,μf(x), along with their derivatives, is introduced to facilitate ...
M. S. Abu Zaytoon +2 more
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Local newforms and formal exterior square L-functions
Let F be a non-archimedean local field of characteristic zero. Jacquet and Shalika attached a family of zeta integrals to unitary irreducible generic representations $\pi$ of GL_n(F). In this paper, we show that Jacquet-Shalika integral attains a certain
Miyauchi, Michitaka, Yamauchi, Takuya
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Fourier expansions of Kac-Moody Eisenstein series and degenerate Whittaker vectors [PDF]
Motivated by string theory scattering amplitudes that are invariant under a discrete U-duality, we study Fourier coefficients of Eisenstein series on Kac-Moody groups. In particular, we analyse the Eisenstein series on $E_9(R)$, $E_{10}(R)$ and $E_{11}(R)
Fleig, Philipp +2 more
core +3 more sources
Volume changes of a solid‐state battery cell are separated into the individual contributions of anode and cathode. Simultaneously determining the “reaction volumes” of both electrodes requires a reference electrode with a pressure‐independent potential.
Mervyn Soans +5 more
wiley +1 more source
On $b$-Whittaker functions [PDF]
The $b$-Whittaker functions are eigenfunctions of the modular $q$-deformed $\mathfrak{gl}_n$ open Toda system introduced by Kharchev, Lebedev, and Semenov-Tian-Shansky.
Schrader, Gus, Shapiro, Alexander
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Distributions on partitions, point processes, and the hypergeometric kernel
We study a 3-parametric family of stochastic point processes on the one-dimensional lattice originated from a remarkable family of representations of the infinite symmetric group.
Borodin, Alexei, Olshanski, Grigori
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