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العنوان
A study of some special functions and polynomials of complex variables /
المؤلف
Ahmed, Ayman Shehata Mohamed.
الموضوع
complex variables.
تاريخ النشر
2009.
عدد الصفحات
131 p. ;
الفهرس
يوجد فقط 14 صفحة متاحة للعرض العام

from 161

from 161

المستخلص

The subjects of special functions of single complex variable and several complex variables have a great situation in almost all disciplines Mathematics, Physics and Engineering. The present work is devoted to study these subjects and is considered one of several theses, which were presented and are still presenting by the school established by Sayyed in one of the branches of complex analysis.
The main aim of this thesis are to define and study of a new family of special matrix functions in complex analysis: -Bessel function, Hermite-Hermite matrix polynomials, Chebyshev matrix polynomials, associated Chebyshev matrix polynomials, Hermite-Chebyshev matrix polynomials of one complex variable, two-index Hermite matrix polynomials of two complex variable, pseudo Hermite matrix polynomials, Kummer’s matrix function , -Kummer’s matrix function and Horn’s matrix function under certain differential and integral operators of two complex variables.
The results of this thesis are variant and significant and so it is interesting and capable to develop its study in the future.