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$(p,q)$-Analytic functions and a complex $(p,q)$-binomial formula

UDC 517.5 We introduce the notions of $(p,q)$-differential for complex discrete functions and $(p,q)$-complex differential operators in a sense of Pashaev. The $(p,q)$-analog of the $q$-binomial formula is presented and the $(p,q)$-Taylor expansion is constructed for $(p,q)$-analytic functions. Thes...

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Bibliographic Details
Date:	2026
Main Author:	Gençtürk, İlker
Format:	Article
Language:	English
Published:	Institute of Mathematics, NAS of Ukraine 2026
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/8966
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal

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Ukrains’kyi Matematychnyi Zhurnal

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