# Integrals involving Hermite polynomials, generalized hypergeometric series and Fox's H-function, and Fourier-Hermite series for products of generalized hypergeometric functions

Annales Polonici Mathematici (1991)

- Volume: 56, Issue: 1, page 19-28
- ISSN: 0066-2216

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topSadhana Mishra. "Integrals involving Hermite polynomials, generalized hypergeometric series and Fox's H-function, and Fourier-Hermite series for products of generalized hypergeometric functions." Annales Polonici Mathematici 56.1 (1991): 19-28. <http://eudml.org/doc/262365>.

@article{SadhanaMishra1991,

abstract = {We evaluate an integral involving an Hermite polynomial, a generalized hypergeometric series and Fox's H-function, and employ it to evaluate a double integral involving Hermite polynomials, generalized hypergeometric series and the H-function. We further utilize the integral to establish a Fourier-Hermite expansion and a double Fourier-Hermite expansion for products of generalized hypergeometric functions.},

author = {Sadhana Mishra},

journal = {Annales Polonici Mathematici},

keywords = {Fox -function; Hermite polynomial; generalized hypergeometric series},

language = {eng},

number = {1},

pages = {19-28},

title = {Integrals involving Hermite polynomials, generalized hypergeometric series and Fox's H-function, and Fourier-Hermite series for products of generalized hypergeometric functions},

url = {http://eudml.org/doc/262365},

volume = {56},

year = {1991},

}

TY - JOUR

AU - Sadhana Mishra

TI - Integrals involving Hermite polynomials, generalized hypergeometric series and Fox's H-function, and Fourier-Hermite series for products of generalized hypergeometric functions

JO - Annales Polonici Mathematici

PY - 1991

VL - 56

IS - 1

SP - 19

EP - 28

AB - We evaluate an integral involving an Hermite polynomial, a generalized hypergeometric series and Fox's H-function, and employ it to evaluate a double integral involving Hermite polynomials, generalized hypergeometric series and the H-function. We further utilize the integral to establish a Fourier-Hermite expansion and a double Fourier-Hermite expansion for products of generalized hypergeometric functions.

LA - eng

KW - Fox -function; Hermite polynomial; generalized hypergeometric series

UR - http://eudml.org/doc/262365

ER -

## References

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