Novel summation formulas for Jacobi and Gegenbauer polynomials
Sign Up to like & getrecommendations! Published in 2021 at "Integral Transforms and Special Functions"
DOI: 10.1080/10652469.2021.1902321
Abstract: Thermal equilibrium of a two-dimensional model of mobile point-like charges with pair logarithmic interactions, immersed in a fixed neutralising background, is exactly solvable at a special coupling constant. Assuming gauge invariance of the statistical mechanics… read more here.
Keywords: gegenbauer polynomials; novel summation; jacobi gegenbauer; summation ... See more keywords
On some summation formulas
Sign Up to like & getrecommendations! Published in 2022 at "Demonstratio Mathematica"
DOI: 10.1515/dema-2022-0003
Abstract: Abstract In this note, we derive a finite summation formula and an infinite summation formula involving Harmonic numbers of order up to some order by means of several definite integrals. read more here.
Keywords: summation formulas; summation;
General Summation Formulas Contiguous to the q-Kummer Summation Theorems and Their Applications
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DOI: 10.3390/sym13061102
Abstract: This paper provides three classes of q-summation formulas in the form of general contiguous extensions of the first q-Kummer summation theorem. Their derivations are presented by using three methods, which are along the lines of… read more here.
Keywords: summation; summation formulas; hypergeometric functions; kummer summation ... See more keywords