Convolution Conditions for (p,q)-Convexity, (p,q)-Starlikeness and (p,q)-Spirallikeness
Abstract
In the present investigation, we derive the necessary and sufficient conditions for $(p,q)$-starlike, $(p,q)$-convex functions of order $\mu$ and $(p,q)$-spirallike, convex $(p,q)$-spirallike functions using convolution.
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References
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1032--1038, (2022).
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48, 119--135, (1973).
\bibitem{hamid3} Ruscheweyh, S., {\it Linear operators between classes of prestarlike functions}, Comment. Math. Helv., 52, 497--509, (1977).
\bibitem{hamid2} Silverman, H., Silvia, E. M. and Telage, D., {\it Convolution conditions for convexity starlikeness, and spiral-likeness},
Math. Z., 162, 125--130, (1978).
\bibitem{hamid6} Suffridge, T. J., {\it Starlike functions as limits of polynomials}, {Lect}. {Notes} {Math}. 505, 164--203, (1976).
Published
2026-03-23
Section
Research Articles
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