Radii of starlikeness and convexity of qqq-Mittag-Leffler functions

Evrim TOKLU

Makale detayları

Radii of starlikeness and convexity of qqq-Mittag-Leffler functions

Yazarlar:

Evrim TOKLU

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2019 Vol.43 Issue 5, pp.2610-2630

Belge Tipi:

Makale

Yayın Tarihi:

9/2019

Belge Dili:

İngilizce

Document ID (Org No.):

2000745557

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Özet:

 

In this paper we deal with the radii of starlikeness and convexity of the qqq-Mittag-Leffler function for three different kinds of normalization by making use of their Hadamard factorization in such a way that the resulting functions are analytic in the unit disk of the complex plane. By applying Euler-Rayleigh inequalities for the first positive zeros of these functions tight lower and upper bounds for the radii of starlikeness of these functions are obtained. The Laguerre-P\'olya class of real entire functions plays a pivotal role in this investigation.

Makale detayları

Radii of starlikeness and convexity of qqq-Mittag-Leffler functions

Yazarlar: Evrim TOKLU

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2019 Vol.43 Issue 5, pp.2610-2630

Belge Tipi: Makale

Yayın Tarihi: 9/2019

Belge Dili: İngilizce

Document ID (Org No.): 2000745557

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Sayı

Yazarlar:

Evrim TOKLU

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2019 Vol.43 Issue 5, pp.2610-2630

Belge Tipi:

Makale

Yayın Tarihi:

9/2019

Belge Dili:

İngilizce

Document ID (Org No.):

2000745557

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098