List questions from special-functions

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Name, application, and/or geometric interpretation for functions of the form $t_m(x)=\frac1m\sum_{k=0}^{m-1}\exp(e^{i\pi(2k+1)/m}x )$?

Published on 16 Apr 2026 - 0:10

686

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Verifying identities for Riemann zeta function

Published on 10 Apr 2026 - 20:47

1k

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Integral representation of modified bessel function

Published on 10 Apr 2026 - 16:14

4.8k

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The roots of Hermite polynomials are all real?

Published on 13 Apr 2026 - 17:15

2.6k

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Weierstrass $\wp$ function doubly periodic

Published on 10 Apr 2026 - 11:34

6.4k

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Spherical Bessel Zeros

Published on 11 Apr 2026 - 4:38

468

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Integrals $\int\limits_0^t {{e^u}\log u\operatorname d \!u} $ and $\int\limits_0^t {{e^{ - u}}\log u\operatorname d \!u} $

Published on 17 Apr 2026 - 4:09

444

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Integration and $\gamma(n,x)$

Published on 15 Apr 2026 - 19:04

2.8k

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Recursive solutions to linear ODE.

Published on 14 Apr 2026 - 14:53

681

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Maclaurin series involving an elliptic integral

Published on 16 Apr 2026 - 12:38

394

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What is the reason to use hypergeometric functions?

Published on 09 Apr 2026 - 20:38

501

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Heuristic\iterated construction of the Weierstrass nowhere differentiable function.

Published on 16 Apr 2026 - 0:00

374

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Zeta function identity

Published on 10 Apr 2026 - 20:47

683

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Theory of the Mathieu Operator

Published on 10 Apr 2026 - 4:03

635

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Solving Shallow water Equations with Hermite polynomials

Published on 13 Apr 2026 - 19:51

List Question

Name, application, and/or geometric interpretation for functions of the form $t_m(x)=\frac1m\sum_{k=0}^{m-1}\exp(e^{i\pi(2k+1)/m}x )$?

Verifying identities for Riemann zeta function

Integral representation of modified bessel function

The roots of Hermite polynomials are all real?

Weierstrass $\wp$ function doubly periodic

Spherical Bessel Zeros

Integrals $\int\limits_0^t {{e^u}\log u\operatorname d \!u} $ and $\int\limits_0^t {{e^{ - u}}\log u\operatorname d \!u} $

Integration and $\gamma(n,x)$

Recursive solutions to linear ODE.

Maclaurin series involving an elliptic integral

What is the reason to use hypergeometric functions?

Heuristic\iterated construction of the Weierstrass nowhere differentiable function.

Zeta function identity

Theory of the Mathieu Operator

Solving Shallow water Equations with Hermite polynomials

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