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How do I express $\int_0^t \frac{{\rm e}^{-a^2 z}}{\sqrt{z} (z+v)} \,dz$ in terms of named functions?

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#integration #definite-integrals #special-functions #improper-integrals
900
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Approximate Riemann zeta function

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#special-functions #riemann-zeta #dirichlet-series
697
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Proof involving the logarithmic integral

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#special-functions #analytic-number-theory
348
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Bound on Bessel function of the first order

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#complex-analysis #inequality #special-functions
288
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A Dedekind eta function sum of form $y_0^k+y_1^k+y_2^k+y_3^k+... = 0$

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#special-functions #modular-forms #theta-functions
126
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questions about a sum of logarithmic integrals

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#special-functions #analytic-number-theory
547
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Laguerre polynomials and inclusion-exclusion

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#probability #combinatorics #reference-request #special-functions #inclusion-exclusion
94
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Proving the problem of integration

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#integration #special-functions
2.6k
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Taylor Series of Ratio of Bessel Functions

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#special-functions #taylor-expansion
774
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What is the analytic form of MeijerG in Mathematica?

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#special-functions #mathematica
632
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What's the reasoning for this recurrence on $q$-multinomial coefficients?

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#combinatorics #special-functions #recurrence-relations #q-analogs
569
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sinc function in terms of Hermite function

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#functional-analysis #special-functions
515
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How does $\int_1 ^x \cos(2\pi/t) dt$ have complex values for real values of $x$?

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#complex-analysis #integration #trigonometry #special-functions
203
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Reason behind the reciprocity of series

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#number-theory #sequences-and-series #algebraic-geometry #special-functions #power-series
510
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How can I solve this integral equation in terms of Hermite polynomials?

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#special-functions #integral-equations

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