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

• Дата: 2026
• Автор: Gençtürk, İlker
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2026
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/8966
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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...