Spirallike and Robertson Functions of Complex Order with Bounded Boundary Rotations

키워드

참고문헌 (32)

1. L. V. Ahlfors, "Sufficient conditions for quasiconformal extension" (1974), Princeton Univ. Press
2. O. P. Ahuja, "The Bieberbach conjecture and its impact on the developments in geometric function theory", Math. Chronicle, 15, pp.1~28 (1986)
3. O. P. Ahuja, "A survey on spiral-like and related function classes", Math. Chronicle, 20, pp.39~66 (1991)
4. J. W. Alexander, "Functions which map the interior of the unit circle upon simple regions", Ann. Math, 17, pp.12~22 (1915)
5. F. M. Al-Oboudi, "Spirallike functions of complex order", J. Natural Geom, 19, pp.53~72 (2000)
6. M. K. Aouf, "On some results for λ-Spirallike and λ-Robertson functions of complex order", Publ. De L'Institut Math, 77(91), pp.93~98 (2005)
7. T. Basgoze, "The Hardy class of a spiral-like function and its derivative", Proc. Amer. Math. Soc, 26, pp.266~269 (1970)
8. D. A. Brannan, "On functions of bounded boundary rotation I", Proc. Edinburg Math. Soc, 16, pp.339~347 (1968)
9. D. Breaz, "Two integral operators", Studia Univ. Babes-Bolyai Math, 47, pp.13~19 (2002)
10. D. Breaz, "A new integral univalent operator", Acta Univ. Apulensis Math. Inform, 16, pp.11~16 (2008)
11. P. N. Chichra, "Regular functions f(z)for which zf'(z)is α-Spiral-like", Proc. Amer. Math. Soc, 49, pp.151~160 (1975)
12. O. Lehto, "On the distortion of conformal mappings with bounded boundary rotation", Ann. Acad. Sci. Fennicae. Ser. AI Math.-Phys, 124, pp.14~ (1952)
13. R. J. Libera, "Univalent α-Spiral functions", Canad. J. Math, 19, pp.449~456 (1967)
14. C. Loewner, "Untersuchungen uber die Verzerrung bei konformen Abbildungen des Einheitskreises |z| < 1, die durch Funktionen mit nicht verschwindender Ableitung geliefert werden", Ber. Verh. Sachs. Gess. Wiss. Leipzig, 69, pp.89~106 (1917)
15. E. J. Moulis, "A generalization of univalent functions with bounded boundary rotation", Trans. Amer. Math. Soc, 174, pp.369~381 (1972)
16. E. J. Moulis, "Generalizations of the Robertson functions", Pacific J. Math, 81, pp.167~174 (1979)
17. M. A. Nasr, "Starlike function of complex order", J. Natural Sci. Math, 25, pp.1~12 (1985)
18. K. I. Noor, "Some properties of certain integral operators", Acta Univ. Apulensis Math. Inform, 21, pp.89~95 (2010)
19. K. I. Noor, "On generalized Spiral-like analytic functions", Filomat, 28(7), pp.1493~1503 (2014)
20. K. I. Noor, "A survey on functions of bounded boundary and bounded radius rotation", Appl. Math. E-Notes, 12, pp.136~152 (2012)
21. L. Spacek, "Contribution a la theorie des fonctions univale", Casopis Pest. Mat, 62, pp.12~19 (1932)
22. V. Paatero, "Uber die konforme Abbildung von Gebieten deren Rander von beschrankter Drehung sind", Ann. Acad. Sci. Fenn. Ser. A, 33, pp.1~77 (1931)
23. V. Paatero, "Uber Gebiete von beschrankter Randdrehung", Ann. Acad. Sci. Fenn. Ser. A, 37, pp.1~20 (1933)
24. K. S. Padmanabhan, "Properties of a class of functions with bounded boundary rotation", Ann. Polon. Math., 31(3), pp.311~323 (1975)
25. B. Pinchuk, "A variational method for functions of bounded boundary rotation", Trans. Amer. Math. Soc, 138, pp.107~113 (1969)
26. B. Pinchuk, "Functions of bounded boundary rotation", Israel J. Math, 10, pp.6~16 (1971)
27. M. S. Robertson, "On the theory of univalent functions", Ann. of Math, 37, pp.374~408 (1936)
28. M. S. Robertson, "Coefficients of functions with bounded boundary rotation", Canad. J. Math, 21, pp.1477~1482 (1969)
29. M. S. Robertson, "Univalent functions f(z)for which zf'(z)is spirallike", Michigan Math. J, 16, pp.97~101 (1969)
30. E. M. Silvia, "A note on special classes of p-valent functions", Rocky Mountain J. Math, 9(2), pp.365~370 (1979)
31. P. G. Umarani, "Functions of bounded boundary rotation of complex order", Math. Balkanica, 3, pp.34~43 (1989)
32. P. Wiatrowski, "The coefficients of a certain family of holomorphic functions", Zeszyty Nauk. Univ. Lodz. Nauki. Math. Przyrod. Ser. II, 39, pp.75~85 (1971)

관련 논문AI추천