Combinatorial identities generated by difference analogs of hyperbolic and trigonometric functions of order $n$
Vladimir Shevelev
TL;DR
This paper derives new combinatorial identities by exploring difference analogs of hyperbolic and trigonometric functions of order n, including addition formulas, expanding the mathematical understanding of these functions.
Contribution
It introduces novel difference analogs of hyperbolic and trigonometric functions of order n and derives associated combinatorial identities and addition formulas.
Findings
New combinatorial identities related to difference analogs
Addition formulas for these analogs
Enhanced understanding of hyperbolic and trigonometric functions of order n
Abstract
We naturally obtain some combinatorial identities finding the difference analogs of hyperbolic and trigonometric functions of order In particular, we obtain the identities connected with the proved in the paper the addition formulas for these analogs.
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Taxonomy
TopicsAdvanced Mathematical Identities · Advanced Mathematical Theories and Applications · Mathematical functions and polynomials