Results 121 to 130 of about 263,554 (202)

On a generalization of the Rogers generating function. [PDF]

open access: yesJ Math Anal Appl, 2019
Cohl HS, Costas-Santos RS, Wakhare TV.
europepmc   +1 more source

A Gegenbauer polynomial-based numerical technique for a singular integral equation of order four and its application to a crack problem

open access: yes
Strongly singular integral equations of order four have applications in fracture mechanics, and Gegenbauer polynomials have never been used to solve these equations.
Concetta Laurita   +2 more
core   +1 more source

On Gegenbauer polynomials and Wronskian determinants of trigonometric functions

open access: yesCoRR
M. E. Larsen evaluated the Wronskian determinant of functions $\{\sin(mx)\}_{1\le m \le n}$. We generalize this result and compute the Wronskian of $\{\sin(mx)\}_{1\le m \le n-1}\cup \{\sin((k+n)x\} $. We show that this determinant can be expressed in terms of Gegenbauer orthogonal polynomials and we give two proofs of this result: a direct proof using
openaire   +2 more sources

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