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INTEGRAL REPRESENTATIONS AND INEQUALITIES OF EXTENDED CENTRAL BINOMIAL COEFFICIENTS
  • Chunfu Wei
Chunfu Wei
School of Mathematics and Informatics, Henan Polytechnic University

Corresponding Author:weichunfu@hpu.edu.cn

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Abstract

In the paper, the author presents three integral representations of extended central binomial coefficient, proves decreasing and increasing properties of two power-exponential functions involving extended (central) binomial coefficients, derives several double inequalities for bounding extended (central) binomial coefficient, and compares with known results.

Peer review status:ACCEPTED

25 Sep 2021Submitted to Mathematical Methods in the Applied Sciences
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27 Sep 2021Submission Checks Completed
27 Sep 2021Assigned to Editor
06 Oct 2021Reviewer(s) Assigned
14 Oct 2021Review(s) Completed, Editorial Evaluation Pending
08 Nov 2021Editorial Decision: Revise Minor
14 Nov 20211st Revision Received
15 Nov 2021Submission Checks Completed
15 Nov 2021Assigned to Editor
15 Nov 2021Reviewer(s) Assigned
21 Nov 2021Review(s) Completed, Editorial Evaluation Pending
04 Dec 2021Editorial Decision: Accept