List questions from special-functions

Published on 04 Mar 2019 - 23:42

58

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Find the limit ‎ ‎$‎\displaystyle{\lim_{n\to\infty}}((x-m)‎\Gamma_q‎(n) + \sum_{k=1}^n ‎\Gamma_q‎(k) - \Gamma_q (k+x-m‎)) ‎$

Published on 05 Mar 2019 - 18:01

77

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Is $\int_0^1 \Psi(x)\Psi(1-x)\,dx$ related to any transform?

Published on 25 Mar 2026 - 1:17

46

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Solution of a particular Trigonometric Integral

Published on 09 Mar 2019 - 16:14

54

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An equation with Gamma Euler function in critical strip

Published on 27 Mar 2026 - 5:55

163

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Evaluation of generalized Laguerre function integrals using orthogonality relations

Published on 27 Mar 2026 - 5:37

406

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Do orthogonal polynomials determine the moments of their orthogonality measure?

Published on 25 Mar 2026 - 3:21

456

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A logarithmic integral, generalization of a result of Shalev

Published on 25 Mar 2026 - 3:07

649

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Prove $B(p,q) + B(p+1,q) + B(p+2,q) + ... = B(p,q-1) $ where $B$ is beta function and $q > 1$

Published on 12 Mar 2019 - 18:12

121

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Jacobi polynomials and Gram determinants

Published on 25 Mar 2026 - 3:18

413

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checking the Solution of Bessel differential equation

Published on 27 Mar 2026 - 10:07

260

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Solve the Bessel differential equation

Published on 27 Mar 2026 - 8:38

203

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How does one compute the Euler product for the Dirichlet Beta function?

Published on 26 Mar 2026 - 7:26

110

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Power series associated with airy function

Published on 15 Mar 2019 - 12:35

53

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Putting some polynomials in terms of orthogonal polynomials

Published on 18 Mar 2019 - 0:13

List Question

asymptotic decreasing function

Find the limit ‎ ‎$‎\displaystyle{\lim_{n\to\infty}}((x-m)‎\Gamma_q‎(n) + \sum_{k=1}^n ‎\Gamma_q‎(k) - \Gamma_q (k+x-m‎)) ‎$

Is $\int_0^1 \Psi(x)\Psi(1-x)\,dx$ related to any transform?

Solution of a particular Trigonometric Integral

An equation with Gamma Euler function in critical strip

Evaluation of generalized Laguerre function integrals using orthogonality relations

Do orthogonal polynomials determine the moments of their orthogonality measure?

A logarithmic integral, generalization of a result of Shalev

Prove $B(p,q) + B(p+1,q) + B(p+2,q) + ... = B(p,q-1) $ where $B$ is beta function and $q > 1$

Jacobi polynomials and Gram determinants

checking the Solution of Bessel differential equation

Solve the Bessel differential equation

How does one compute the Euler product for the Dirichlet Beta function?

Power series associated with airy function

Putting some polynomials in terms of orthogonal polynomials

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