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PROBLEMS OF FINDING INTEGRAL REPRESENTATIONS OF SOME GENERELIZED HYPERGEOMETRIC FUNCTIONS

Authors

  • А Раҳматжонзода

    Fergana State University

Keywords:

generalized hypergeometric function, Legendre multiplicative formula, Gaus’s hypergeometric function.

Abstract

This article examines the problem of finding the integral representation of some generalized hypergeometric functions.

Author Biography

  • А Раҳматжонзода , Fergana State University

    ФарДУ математика йўналиши 2-курс магистранти

References

Бейтмен Г., Эрдейи А. Высшие трансцендентные функции. ─Т.1,2.–М.: Наука, 1973.

Прудников А.П., Брычков Ю.Ф., Маричев О.И. Интегралы и ряды. Т.3. Специальные функции. 2-е изд., исправ. – М.: ФИЗМАТЛИТ, 2003.

Ўринов А.Қ. Махсус функциялар ва махсус операторлар. – Фарғона: Фарғона нашриёти, 2012.

Driver K.A. and Johnston S. J. (2006). An integral representation of some hypergeometric functions. Electronic Transactions on Numerical Analysis. Vol. 25, pp.

Habibullah G.M. and Mubeen S. (2011). Lp -Bounded operators involving generalized hypergeometric functions. Integral Transforms and Special Functions. Vol. 22, pp.

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Published

2023-07-05

How to Cite

PROBLEMS OF FINDING INTEGRAL REPRESENTATIONS OF SOME GENERELIZED HYPERGEOMETRIC FUNCTIONS. (2023). Scientific Journal of the Fergana State University, 5, 143-146. https://journal.fdu.uz/index.php/sjfsu/article/view/956