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Special functions associated with azimuthally magnetized ferrite rod phase shifters

Journal of Applied Physics, 1979
Solutions of the differential equation satisfied by the circularly symmetric electric field Eφ in an azimuthally magnetized ferrrite cylinder are given in terms of two infinite series which reduce to Bessel function J1(x) and Neumann function N1(x) in the absence of the dc magnetic field.
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Special Values of Zeta Functions Associated with Self-Dual Homogeneous Cones

1981
To explain the main idea of this paper, and also to fix some notations, we start with reviewing the classical case of Riemann zeta function. As usual we set $$\varsigma \left( s \right) = \sum\limits_{n = 1}^\infty {{n^{ - s}}} \quad \left( {Re\,s >1} \right)$$ , $$\Gamma \left( s \right) = \int\limits_0^\infty {{x^{s - 1}}{e^{ - x}}dx\quad \
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Special matrix functions: characteristics, achievements and future directions

Linear and Multilinear Algebra, 2020
Mohammed Abdalla
exaly  

A Guide to Special Functions in Fractional Calculus

Mathematics, 2021
Virginia S Kiryakova
exaly  

A Fast Algorithm for the Calculation of the Roots of Special Functions

SIAM Journal of Scientific Computing, 2007
Vladimir Rokhlin
exaly  

The multi-index Mittag-Leffler functions as an important class of special functions of fractional calculus

Computers and Mathematics With Applications, 2010
Virginia S Kiryakova
exaly  

The special values of the zeta functions associated with cusp forms

Communications on Pure and Applied Mathematics, 1976
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