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advances in the continuous dual hahn polynomials
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نویسنده
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dumlupinar mustafa ,erkus-duman esra
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منبع
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journal of mathematical extension - 2023 - دوره : 17 - شماره : 4 - صفحه:1 -18
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چکیده
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In this paper, we investigate some advanced properties of the continuous dual hahn polynomials which are orthogonal in a single variable. in particular, we derive various families of bilinear and bilateral generating functions from them. we also obtain recurrence relations for these polynomials with the help of three-term contiguous relations of classical hypergeometric series. furthermore, we give some integral representations.
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کلیدواژه
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hypergeometric series ,continuous dual hahn polynomials ,generating function ,recurrence relation ,integral representation
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آدرس
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gazi university, faculty of science, department of mathematics, turkey, gazi university, faculty of science, department of mathematics, turkey
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پست الکترونیکی
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eerkusduman@gmail.com, eduman@gazi.edu.tr
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Authors
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