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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2021.1
- 수록면
- 75 - 98 (24page)
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In this paper, we introduce new classes of post-quantum or (p, q)-starlike and convex functions with respect to symmetric points associated with a cardiod-shaped domain. We obtain (p, q)-Fekete-Szeg¨o inequalities for functions in these classes. We also obtain estimates of initial (p, q)-logarithmic coefficients. In addition, we get q-Bieberbachde-Branges type inequalities for the special case of our classes when p = 1. Moreover, we also discuss some special cases of the obtained results.
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참고문헌 (30)
참고문헌 신청
O. P. Ahuja / 1993 / Hadamard products and neighbourhoods of spirallike functions / Yokohama Math. J 40(2):95~103
O. P. Ahuja / 2019 / Use of quantum calculus approach in mathematical sciences and its role in geometric function theory / AIP Conference Proceedings 2095
O. P. Ahuja / 2019 / Bieberbach-de Branges and FeketeSzeg¨o inequalities for certain families of q-convex and q-close to convex functions / J. Comput. Anal. Appl 26(4):639~649
M. F. Ali / 2018 / On logarithmic coefficients of some close-to-convex functions / Proc. Amer. Math. Soc 146(3):1131~1142
A. Aral / 2013 / Applications of q-calculus in operator theory / Springer
O. P. Ahuja / 2019 / Use of quantum calculus approach in mathematical sciences and its role in geometric function theory / AIP Conference Proceedings 2095
O. P. Ahuja / 2019 / Bieberbach-de Branges and FeketeSzeg¨o inequalities for certain families of q-convex and q-close to convex functions / J. Comput. Anal. Appl 26(4):639~649
M. F. Ali / 2018 / On logarithmic coefficients of some close-to-convex functions / Proc. Amer. Math. Soc 146(3):1131~1142
A. Aral / 2013 / Applications of q-calculus in operator theory / Springer
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