Univalence Criteria for some General Integral Operators

Bărbatu, Camelia; Breaz, Daniel

doi:10.2478/auom-2021-0003

Abstract

The main object of this paper is to extend the univalent condition for two general integral operators. A number of known univalent condition would follow upon specializing the parameters involved in our main results.

References

[1] C. Bărbatu, D. Breaz, The univalence conditions for a general integral operator. Acta Universitatis Apulensis, Alba Iulia, 51(2019), 75-87.
Search in Google Scholar Back to article
[2] C. Bărbatu, D. Breaz, Univalence Criteria for a General Integral Operator. General Mathematics, Sibiu, 27(2019), 43-57.
Search in Google Scholar Back to article
[3] D. Blezu, On univalence criteria. General Mathematics, Cluj-Napoca, Mathematica, 14(2006), pg. 77-84.
Search in Google Scholar Back to article
[4] D. Breaz, N. Breaz, Two Integral Operators. Studia Univ.”Babes-Bolyai”, Cluj-Napoca, Mathematica, 47(2002), no. 3, pg. 13-21.
Search in Google Scholar Back to article
[5] D. Breaz, S. Owa, N. Breaz, A new integral univalent operator. Acta Universitatis Apulensis, 16(2008).
Search in Google Scholar Back to article
[6] Y. J. Kim, E. P. Merkes, On an integral of powers of aspirallike function. Kyungpook Math. J., 12(2)(1972), 249-253.
Search in Google Scholar Back to article
[7] B. A. Frasin, Order of convexity and univalence of general integral operator. J. Franklin Inst., 348(2011), 1013-1019.
Search in Google Scholar Back to article
[8] O. Mayer, The Functions Theory of the One Variable Complex. Acad. Ed., Bucuresti, Romania, 1981, 101-117.
Search in Google Scholar Back to article
[9] Z. Nehari, Conformal Mapping. Mc Graw-Hill Book Comp., New York, 1975 (Dover Publ. Inc., 1975).
Search in Google Scholar Back to article
[10] A. Oprea, D. Breaz, H. M. Srivastava Univalence conditions for a new family of integral operators. Filomat, (30)5(2016), 1243-1251.10.2298/FIL1605243O
Search in Google Scholar Back to article
[11] H. Ovesea, Integral operators of Bazilevic type. Bull. Math. Bucuresti, 37(1993), 115-125.
Search in Google Scholar Back to article
[12] N. N. Pascu, V. Pescar, On the integral operators Kim-Merkes and Pfaltzgraff. Mathematica, UBB, Cluj-Napoca, 32(55),2 (1990), 185-192.
Search in Google Scholar Back to article
[13] V. Pescar, On the univalence of some integral operators. General Mathematics, Cluj-Napoca, Mathematica, 14(2006),no. 2, 77-84.
Search in Google Scholar Back to article
[14] V. Pescar, New generalization of Ahlfors’s, Becker’s and Pascu’s univalence criterion. Acta Univ. Apulensis, no. 34 (2013), 173-178.
Search in Google Scholar Back to article
[15] V. Pescar, Univalence conditions for certain integral operators. Journal of Inequalities in Pure and Applied Math., (7) 147 (2006), 169-177.
Search in Google Scholar Back to article
[16] V. Pescar, S. Owa, Univalence of certain integral operators. Int. J. Math. Math. Sci., 23(2000), 697-701.10.1155/S016117120000260X
Search in Google Scholar Back to article
[17] V. Pescar, L. Stanciu Some univalence criteria for a family of integral operators. Creative Math. Inform., 24 (2015), no 2, 213-219.10.37193/CMI.2015.02.15
Search in Google Scholar Back to article
[18] J. Pfaltzgraff, Univalence of the integral of (f′ (z))λ. Bull. London Math. Soc., 7(1975), no. 3, 254-256.
Search in Google Scholar Back to article
[19] V. Singh, On a class of univalent functions. Int. J. Math., Sci 23 (2000), 855-857.
Search in Google Scholar Back to article
[20] L. Stanciu, The Univalence conditions of some integral operators. Abstract and Applied Analysis, ID 924645, 2012, 9 pages.10.1155/2012/924645
Search in Google Scholar Back to article
[21] N. Ularu, Convexity properties for an integral operator. Acta Universitatis Apulensis Math., 27(2011), 115-120.
Search in Google Scholar Back to article
[22] D. Yang, J. Liu, On a class of univalent functions. Int. J. Math., Sci 22 (3) (1999), 605-610.10.1155/S0161171299226051
Search in Google Scholar Back to article

Univalence Criteria for some General Integral Operators

Abstract

Paradigm

My account