Generalized λ-Hadamard product for a class of p-valent functions

Journal of Lanzhou University of Technology ›› 2025, Vol. 51 ›› Issue (2): 166-172.

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Generalized λ-Hadamard product for a class of p-valent functions

HE Tao, LI Shu-hai, TANG Huo

School of Mathematics and Computer Science, Chifeng University, Chifeng 024000, China

Received:2023-06-05 Online:2025-04-28 Published:2025-04-29

Abstract

Abstract: A class of p-valent function and generalized λ-Hadamard product of which are introduced. By using the subordination relationship and the initial method, distortion theorem, integral operator, extreme point and the closure properties of generalized λ-Hadamard product of the class are obtained. The results generalize the work of Hadamard product and get some new results.

Key words: p-valent functions, distortion, extreme point, generalized-Hadamard product, generalized λ-Hadamard procduct

CLC Number:

O174.51

HE Tao, LI Shu-hai, TANG Huo. Generalized λ-Hadamard product for a class of p-valent functions[J]. Journal of Lanzhou University of Technology, 2025, 51(2): 166-172.

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References

[1] DUREN P L.Univalent functions [M].New York:Springer-Verlag,1983.
[2] POLATOGLU Y,BOLCAL M,EN A,et al.An investigation on a subclass of p-valently starlike functions in the unit disc [J].Turkish Journal of Mathematics,2007,31:221-228.
[3] CHOI J H,KIM Y C,OWA S.Generalizations of Hadamard products of functions with negative coefficients [J].Journal of Mathematical Analysis and Applications,1996,199:495-501.
[4] 何涛,李书海,马丽娜,等.一类解析函数的广义λ-Hadamard卷积 [J].数学的实践与认识,2019,49(8):211-217.
[5] GOEL R M,SOHI N S.Multivalent functions with negative coefficients [J].Indian Journal of Pure and Applied Mathematics,1981,12(7):844-853.
[6] 武怀勤.两个负系数p叶函数族的Hadamard积 [J].数学研究,2003,36(3):261-265.
[7] EL-ASHWAH R M.Some convolution and inclusion properties for subclasses of meromorphicp-valent functions involving integral operator [J].Acta Mathematica Scientia,2013,33:1749-1758.
[8] MOSTAFA A O,AOUF M K.On convolution properties for certain classes of p-valent meromorphic functions defined by linear operator [J].Lematematiche,2014,69:259-266.
[9] LIU J L,SRIVASTAVA R.Hadamard products of certain classes of p-valent starlike functions [J].RACSAM,2019,113(3):2001-2015.
[10] HE T,LI S H,MA L N,et al.Closure properties of generalized λ-Hadamard product for a class of meromorphic Janowski functions [J].AIMS Mathematics,2021,6(2):1715-1726.
[11] TANG H,LI S H,MA L N,et al.Quasi-hadamard product of meromorphic starlike functions and convex functions of reciprocal order [J].Mathematics in Practice and Theory,2016,46:261-266.
[12] AO E,LI S H,TANG H.Fekete-Szego problem for certain subclass of p-valent analytic functions using Quasi-Subordination [J].Chinese Quarterly Journal of Mathematics,2017,32(4):432-440.
[13] SONI A,VYAS P P,KANT S.Convolution properties for certain subclasses of meromorphicp-valent functions by means of cassinian ovals [J].Facta Universitatis(Nis) Ser Math Inform,2023,38(1):25-33.
[14] GOLMOHAMMADI M H,ALISHAHI A.Convolution properties for some subclasses of meromorphicp-valent functions of complex order associated with q-derivative [J].International Journal of Nonlinear Analysis and Applications,2024,15(9):263-270.

Generalized λ-Hadamard product for a class of p-valent functions

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