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On sharp general coefficient estimates for $\vartheta$-spirallike functions

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This paper attempts to investigate a new subfamily \linebreak $\mathcal{ST}_{\vartheta ,\sigma}\left( \alpha ,\beta ,\gamma ,\mu \right) $ of spirallike functions endowed with Mittag-Leffler and Wright functions. The paper further investigates sharp coefficient bounds for functions that belong to this class.

Abstract

This paper attempts to investigate a new subfamily \linebreak $\mathcal{ST}_{\vartheta ,\sigma}\left( \alpha ,\beta ,\gamma ,\mu \right) $ of spirallike functions endowed with Mittag-Leffler and Wright functions. The paper further investigates sharp coefficient bounds for functions that belong to this class.

참고문헌 (15)

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  2. Deepak Bansal, "On a new class of functions related with Mittag-Leffler and Wright functions and their properties", 대한수학회논문집, 35(4), pp.1123~1132 (2020), 대한수학회[DOI]
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  5. K. S. Gehlot, "The p-k Mittag-Leffler function", Palest. J. Math, 7(2), pp.628~632 (2018)
  6. P. Humbert, "Quelques r´esultats relatifs `a la fonction de Mittag-Leffler", C. R. Acad. Sci. Paris, 236, pp.1467~1468 (1953)
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  9. F. Mainardi, "The Wright functions of the second kind in Mathematical Physics", Mathematics, 8(6), pp.1~26 (2020)
  10. N. Mustafa, "Univalence of certain integral operators involving normalized Wright functions", Commun. Fac. Sci. Univ. Ank. S´er. A1 Math. Stat, 66(1), pp.19~28 (2017)[DOI]
  11. J. K. Prajapat, "Certain geometric properties of the Wright function", Integral Transforms Spec. Funct, 26(3), pp.203~212 (2015)[DOI]
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  13. L. Spacek, "Contribution a la theorie des fonctions univalentes", Casopis Pro Pestovani Matematiky a Fysiky, 62, pp.12~19 (1933)
  14. A. Wiman, "¨ Uber den Fundamentalsatz in der Teorie der Funktionen Ea(x)", Acta Math, 29(1), pp.191~201 (1905)[DOI]
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