On some geometric results for generalized k-Bessel functions

• Autorzy: Toklu Evrim

Identyfikatory

DOI

10.1515/dema-2022-0235

• Języki publikacji: EN

Abstrakty

EN

The main aim of this article is to present some novel geometric properties for three distinct normalizations of the generalized k-Bessel functions, such as the radii of uniform convexity and of α-convexity. In addition, we show that the radii of α-convexity remain in between the radii of starlikeness and convexity, in the case when α ∈ [ 0 , 1 ] and they are decreasing with respect to the parameter α. The key tools in the proof of our main results are infinite product representations for normalized k-Bessel functions and some properties of real zeros of these functions.

Słowa kluczowe

EN

k-Bessel function; univalent; starlike and convex functions; α-convex functions; radius of uniform convexity; radius of α-convexity

PL

funkcja Bessela; jednowartościowość; funkcje gwiaździste; funkcje wypukłe; funkcje α-wypukłe

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2023
• Tom: Vol. 56, nr 1
• Strony: art. no. 20220235
• Opis fizyczny: Bibliogr. 32 poz.

Twórcy

autor

Toklu Evrim

• Department of Mathematics, Faculty of Education, Ağrı İbrahim Çeçen University, Ağrı, Turkey

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr POPUL/SP/0154/2024/02 w ramach programu "Społeczna odpowiedzialność nauki II" - moduł: Popularyzacja nauki (2025).