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Is $\sum_{n=0}^\infty (-1)^n (2n+1)^{-s}$ expressible in terms of the zeta function?

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#sequences-and-series #special-functions #riemann-zeta #dirichlet-series
168
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Can a polynomial be expressed as a rational function in Weierstrass functions?

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#polynomials #special-functions #elliptic-functions
93
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Prove an inequality for the cosine integral

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#integration #inequality #definite-integrals #special-functions
124
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Evaluating $J_0(z)=\frac{1}{\pi}\int_{0}^{\pi}\cos\left(z\sin\theta\right)\,d\theta$

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#complex-analysis #special-functions #bessel-functions
219
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hypergeometric 2f2 function reference

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#reference-request #special-functions
58
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Show that a sequence is not hypergeometric

Published on
#sequences-and-series #special-functions
450
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To show Hypergeometric Functions(1F2) positive.

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#inequality #asymptotics #special-functions #hypergeometric-function
139
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Evaluate $\sum_{k=2}^\infty{\frac{(-1)^k}{\ln k}}$

Published on
#integration #definite-integrals #summation #special-functions
189
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Linear Functional and Orthogonal polynomial sequence relation

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#special-functions #orthogonal-polynomials
112
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Show that if $\{P_n\}$,$ n\geq0$ is orthogonal with respect to a linear functional $L$ then the following two are equivalent.

Published on
#polynomials #special-functions #orthogonal-polynomials
420
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An inequality about hypergeometric function(1F2).

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#inequality #asymptotics #special-functions #hypergeometric-function
267
Views

Closed forms of sums of rational or real powers

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#summation #special-functions #closed-form #discrete-calculus
199
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Hypergeometric Function simplification

Published on
#real-analysis #asymptotics #special-functions #hypergeometric-function
701
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Approximation of integral of error function?

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#integration #definite-integrals #special-functions #error-function
52
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system delay: $x(2t-t_o) \,\,or \,\, x(2t-2t_o)$?

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#dynamical-systems #special-functions #signal-processing #invariance

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