On Certain Generalizations of Rational and Irrational Equivariant Functions
Mathematics, 2022 In this paper, we address the case of a particular class of function referred to as the rational equivariant functions. We investigate which elliptic zeta functions arising from integrals of power of ℘, where ℘ is the Weierstrass ℘-function attached to a
Isra Al-Shbeil +3 more
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SOME ELLIPTICAL INTEGRALS ASSOCIATED WITH HYPERGEOMETRIC FUNCTIONS
JOURNAL OF RAMANUJAN SOCIETY OF MATHEMATICS AND MATHEMATICAL SCIENCES, 2023 The main object of this paper is to establish seven elliptical integrals associated with hypergeometric functions and suggest new way to compute their numerical values. The results presented in this article are presumably new and not present in the scientific literature.
Salahuddin, Chaudhary, M. P.
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Elliptic integrals, elliptic functions and modular forms in quantum field theory [PDF]
, 2019 This book includes review articles in the field of elliptic integrals, elliptic functions and modular forms intending to foster the discussion between theoretical physicists working on higher loop calculations and mathematicians working in the field of ...
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Fonctions et intégrales elliptiques [PDF]
Surveys in Mathematics and its Applications, 2008 This paper presents the basic ideas and properties of elliptic functions and elliptic integrals as an expository essay. It explores some of their numerous consequences and includes applications to some problems such as the simple pendulum and the Euler ...
Ahmed Lesfari
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Legendre hyperelliptic integrals, π new formulae and Lauricella functions through the elliptic singular moduli [PDF]
, 2014 This paper, pursuing the work started by tha authots, holds six new formulae for π through ratios of first kind complete elliptic integrals and some values of hypergeometric functions of three or four variables of Lauricella type.
Mingari Scarpello, Giovanni +1 more
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Generalized elliptic-type integrals and their representations [PDF]
, 2006 Epstein-Hubbell [L.F. Epstein, J.H. Hubbell, Evaluation of a generalized elliptic-type integral, J. Res. NBS 67B (1963) 1-17] elliptic-type integrals occur in radiation field problems. In this paper, we consider a generalization (10) of the elliptic-type
Salman, M.
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Numerical Solution of Some Differential Equations with Henstock–Kurzweil Functions
Journal of Function Spaces, 2019 In this work, the Finite Element Method is used for finding the numerical solution of an elliptic problem with Henstock–Kurzweil integrable functions. In particular, Henstock–Kurzweil high oscillatory functions were considered.
D. A. León-Velasco +4 more
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The method of construction of cylindrical and azimuthal equal-area map projections of a tri-axial ellipsoid [PDF]
Geodesy and Cartography, 2018 The paper presents a method of construction of cylindrical and azimuthal equalarea map projections of a triaxial ellipsoid. Equations of a triaxial ellipsoid are a function of reduced coordinates and functions of projections are expressed with use of the
Paweł Pędzich
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On generalized complete elliptic integrals and modular functions [PDF]
Proceedings of the Edinburgh Mathematical Society, 2012 AbstractThis paper deals with generalized elliptic integrals and generalized modular functions. Several new inequalities are given for these and related functions.
Bhayo, B. A., Vuorinen, M.
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Numerical solution of two dimensional harmonic boundary problems containing singularities by conformal transformation methods [PDF]
, 1971 Numerical solutions to a class of two dimensional harmonic mixed boundary value problems defined on rectangular domains and containing singularities are obtained using conformal transformation methods.
Whiteman, J R, Papamichael, N
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