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on several new closed-form evaluations for the generalized hypergeometric functions
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نویسنده
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kumar b. r. srivatsa ,lim dongkyu ,rathie arjun k.
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منبع
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communications in combinatorics and optimization - 2023 - دوره : 8 - شماره : 4 - صفحه:737 -749
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چکیده
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The main objective of this paper is to establish as many as thirty new closed-form evaluations of the generalized hypergeometric function q+1fq(z) for q = 2, 3. this is achieved by means of separating the generalized hypergeometric func tion q+1fq(z) for q = 1, 2, 3 into even and odd components together with the use of several known infinite series involving reciprocal of the non-central binomial coefficients obtained earlier by l. zhang and w. ji.
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کلیدواژه
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generalized hypergeometric function ,central and non-central binomial coefficients ,combinatorial sum ,reciprocals
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آدرس
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manipal academy of higher education, manipal institute of technology, department of mathematics, india, andong national university, department of mathematics education, south korea, rajasthan technical university, vedant college of engineering and technology, department of mathematics, india
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پست الکترونیکی
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arjunkumarrathie@gmail.com
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Authors
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