Delannoy两函数序列的行列式形式和递归关系

Advances in the Theory of Nonlinear Analysis and its Application Pub Date : 2020-07-09 DOI:10.31219/osf.io/u683y

Feng Qi (祁锋), M. C. Dağlı, Wei-Shih Du

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引用次数: 10

摘要

本文用Hessenberg行列式建立了Delannoy两函数序列及其差的封闭形式，推导了Delannoy两函数序列及其差的递推关系，推导了Delannoy一函数序列、Delannoy数和中心Delannoy数的Hessenberg行列式和递推关系的封闭形式。本预印本已以“冯琦，穆罕默德·齐哈特·达格里，杜伟士，Delannoy两函数序列的行列式形式和递归关系”正式发表，《非线性分析理论进展及其应用》，第4卷，第4期。3，第184—193页(2020);可在https://doi.org/10.31197/atnaa.772734上找到。”

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Determinantal forms and recursive relations of the Delannoy two-functional sequence

In the paper, the authors establish closed forms for the Delannoy two-functional sequence and its difference in terms of the Hessenberg determinants, derive recursive relations for the Delannoy two-functional sequence and its difference, and deduce closed forms in terms of the Hessenberg determinants and recursive relations for the Delannoy one-functional sequence, the Delannoy numbers, and central Delannoy numbers. This preprint has been formally published as "Feng Qi, Muhammet Cihat Dagli, and Wei-Shih Du, Determinantal forms and recursive relations of the Delannoy two-functional sequence, Advances in the Theory of Nonlinear Analysis and its Applications, vol. 4, no. 3, pp. 184--193 (2020); available online at https://doi.org/10.31197/atnaa.772734."

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Advances in the Theory of Nonlinear Analysis and its Application

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