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ABOUT A COMPOSITIONAL METHOD OF SOLVING INTEGRAL EQUATIONS WITH GAUSS'S HYPERGEOMETRIC FUNCTION IN THE KERNEL

Authors

  • Д Мухторова

    Fergana State University

Keywords:

integral equations, integro-differential operators, semi-group properties, hypergeometric function, compositional method, Riemann-Liouville integral operators.

Abstract

This article presents the solution of integral equations involving Gauss's hypergeometric function at the kernel using integro-differential operators and some of their compositions.

Author Biography

  • Д Мухторова, Fergana State University

    ФарДУ, магистратура бўлими дифференциал тенгламалар ва математик физика мутахассислиги 2-курс магистранти

References

Самко С.Г., Кильбас А.А., Маричев О.И. Интегралы и производные дробного порядка и некоторые их приложения. ‒ М.: Наука, 1987.

Ўринов А.Қ. Махсус функциялар ва махсус операторлар. ‒ Фарғона: “Фарғона” нашриёти, 2012.

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Published

2023-07-05