A New Subclass of Analytic Functions Involving the (<mml:semantics>p,q</mml:semantics>)-Derivative and Applications to (<mml:semantics>p,q</mml:semantics>)-Poisson Distribution Series
MATHEMATICS, cilt.14, sa.12, 2026 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 14 Sayı: 12
- Basım Tarihi: 2026
- Doi Numarası: 10.3390/math14122029
- Dergi Adı: MATHEMATICS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, zbMATH, Directory of Open Access Journals, Academic Search Ultimate (EBSCO), Materials Science & Engineering Collection (ProQuest), Technology Collection (ProQuest)
- Bursa Uludağ Üniversitesi Adresli: Evet
Özet
In this paper, we introduce and investigate a new subclass Ap,q(lambda,delta,eta) of analytic functions defined by the (p,q)-derivative in the setting of Geometric Function Theory. This class extends the classical subclass G(lambda,delta,eta) and reduces to it when the parameters p and q tend to 1-. By means of coefficient estimates, we obtain a sufficient condition for the general class and a necessary and sufficient condition for the corresponding negative-coefficient subclass. These results are then applied to the (p,q)-Poisson distribution series and to a related linear operator. The graphical analysis included in the final section illustrates the geometric behavior of the introduced functions and highlights the effects of the parameters.