On subclasses of functions with boundary and radius rotations associated with crescent domains
0
조회
0
다운로드
1
인용
0
참고문헌
키워드
초록
The present work is aimed at presenting some characteristic properties of functions that map open unit disk onto a lune in the right half plane. Furthermore, we introduce subclasses of functions with boundary and radius rotations which are related to crescent regions. Some useful results, which include coefficient inequalities and some subordination properties associated with these subclasses are derived. Consequently, related problems concerning these classes are also studied.
Abstract
The present work is aimed at presenting some characteristic properties of functions that map open unit disk onto a lune in the right half plane. Furthermore, we introduce subclasses of functions with boundary and radius rotations which are related to crescent regions. Some useful results, which include coefficient inequalities and some subordination properties associated with these subclasses are derived. Consequently, related problems concerning these classes are also studied.
참고문헌 (12)
- Shweta Gandhi, "Starlike functions associated with a lune", Asian-European Journal of Mathematics, 10(04), pp.1750064~ (2017), World Scientific Pub Co Pte Lt[DOI]
- A. W. Goodman, "Univalent Functions. Vol. II" (1983), Mariner Publishing Co., Inc
- C. Loewner, "Untersuchungen uber die Verzerrung bie Konformen abbildungen des Ein-heitskreises ┃z┃ < 1, die durch Funktionen mit nicht verschwindender Ableitung geliefert werden", Ber. Verh. Sachs. Ges. Wiss. Leipzig, 69, pp.89~106 (1917)
- S. S. Miller, "Differential subordinations" (2000), Marcel Dekker, Inc
- V. Paatero, "Uber die konforme Abbildungen von Gebieten, deren Rander von beschrank-ter Drehung Sind", Ann. Acad. Sci. Eenn. Ser. A, 33, pp.1~77 (1931)
- Bernard Pinchuk, "Functions of bounded boundary rotation", Israel Journal of Mathematics, 10(1), pp.6~16 (1971), Springer Science and Business Media LLC[DOI]
- Ravinder Krishna Raina, "Some properties related to a certain class of starlike functions", Comptes Rendus Mathematique, 353(11), pp.973~978 (2015), Elsevier BV[DOI]
- R. K. Raina, "Certain classes of analytic functions related to the crescent-shaped regions", J. Contemp. Math. Anal, 53(6), pp.355~362 (2018)
- Ravinder Krishna Raina, "On a class of analytic functions governed by subordination", Acta Universitatis Sapientiae, Mathematica, 11(1), pp.144~155 (2019), Walter de Gruyter GmbH[DOI]
- Poonam Sharma, "Certain Ma–Minda type classes of analytic functions associated with the crescent-shaped region", Analysis and Mathematical Physics, 9(4), pp.1887~1903 (2019), Springer Science and Business Media LLC[DOI]
- Janusz Sokol, "Coffcient Estimates in a Class of Strongly Starlike Functions", Kyungpook Mathematical Journal, 49(2), pp.349~353 (2009), 경북대학교 자연과학대학 수학과
- J. Soko l, "Radius of convexity of some subclasses of strongly starlike functions", Zeszyty Nauk. Politech. Rzeszowskiej Mat. No, 19, pp.101~105 (1996)