References
- L. V. Ahlfors, Sufficient conditions for quasiconformal extension, Ann. Math. Studies 79, Princeton Univ. Press, Princeton, N.J., 1974.
- O. P. Ahuja, The Bieberbach conjecture and its impact on the developments in geometric function theory, Math. Chronicle, 15(1986), 1-28.
- O. P. Ahuja and H. Silverman, A survey on spiral-like and related function classes, Math. Chronicle, 20(1991), 39-66.
- J. W. Alexander, Functions which map the interior of the unit circle upon simple regions, Ann. Math., 17(1915), 12-22. https://doi.org/10.2307/2007212
- F. M. Al-Oboudi and M. M. Haidan, Spirallike functions of complex order, J. Natural Geom., 19(2000), 53-72.
-
M. K. Aouf, F. M. Al-Oboudi and M. M. Haidan, On some results for
${\lambda}$ -Spirallike and${\lambda}$ -Robertson functions of complex order, Publ. De L'Institut Math., 77(91)(2005), 93-98. https://doi.org/10.2298/PIM0591093A - T. Basgoze and F. R. Keogh, The Hardy class of a spiral-like function and its derivative, Proc. Amer. Math. Soc., 26(1970), 266-269. https://doi.org/10.1090/S0002-9939-1970-0264084-7
- D. A. Brannan, On functions of bounded boundary rotation I, Proc. Edinburg Math. Soc., 16(1968/69), 339-347. https://doi.org/10.1017/S001309150001302X
- D. Breaz and N. Breaz, Two integral operators, Studia Univ. Babes-Bolyai Math., 47(2002), 13-19.
- D. Breaz, S. Owa and N. Breaz, A new integral univalent operator, Acta Univ. Apulensis Math. Inform., 16(2008), 11-16.
-
P. N. Chichra, Regular functions f(z) for which zf'(z) is
${\alpha}$ -Spiral-like, Proc. Amer. Math. Soc., 49(1975), 151-160. https://doi.org/10.1090/S0002-9939-1975-0361033-2 - O. Lehto, On the distortion of conformal mappings with bounded boundary rotation, Ann. Acad. Sci. Fennicae. Ser. AI Math.-Phys., 124(1952). 14 pp.
-
R. J. Libera, Univalent
${\alpha}$ -Spiral functions, Canad. J. Math., 19(1967), 449-456. https://doi.org/10.4153/CJM-1967-038-0 -
C. Loewner, Untersuchungen uber die Verzerrung bei konformen Abbildungen des Einheitskreises
$\left|z\right|<1$ , die durch Funktionen mit nicht verschwindender Ableitung geliefert werden, Ber. Verh. Sachs. Gess. Wiss. Leipzig, 69(1917), 89-106. - E. J. Moulis, A generalization of univalent functions with bounded boundary rotation, Trans. Amer. Math. Soc., 174(1972), 369-381. https://doi.org/10.1090/S0002-9947-1972-0320296-1
- E. J. Moulis, Generalizations of the Robertson functions, Pacific J. Math., 81(1979), 167-174. https://doi.org/10.2140/pjm.1979.81.167
- M. A. Nasr and M. K. Aouf, Starlike function of complex order, J. Natural Sci. Math., 25(1985), 1-12.
- K. I. Noor, M. Arif and W. Ul-Haq, Some properties of certain integral operators, Acta Univ. Apulensis Math. Inform., 21(2010), 89-95.
- K. I. Noor, N. Khan and M. A. Noor, On generalized Spiral-like analytic functions, Filomat, 28(7)(2014), 1493-1503. https://doi.org/10.2298/FIL1407493N
- K. I. Noor, B. Malik and S. Mustafa, A survey on functions of bounded boundary and bounded radius rotation, Appl. Math. E-Notes, 12(2012), 136-152.
- L. Spacek, Contribution a la theorie des fonctions univalentes, Casopis Pest. Mat., 62(1932), 12-19.
- V. Paatero, Uber die konforme Abbildung von Gebieten deren Rander von beschrankter Drehung sind, Ann. Acad. Sci. Fenn. Ser. A, 33(1931), 1-77.
- V. Paatero, Uber Gebiete von beschrankter Randdrehung, Ann. Acad. Sci. Fenn. Ser. A, 37(1933), 1-20.
- K. S. Padmanabhan and R. Parvatham, Properties of a class of functions with bounded boundary rotation, Ann. Polon. Math., 31(3)(1975/76), 311-323. https://doi.org/10.4064/ap-31-3-311-323
- B. Pinchuk, A variational method for functions of bounded boundary rotation, Trans. Amer. Math. Soc., 138(1969), 107-113. https://doi.org/10.1090/S0002-9947-1969-0237761-8
- B. Pinchuk, Functions of bounded boundary rotation, Israel J. Math., 10(1971), 6-16. https://doi.org/10.1007/BF02771515
- M. S. Robertson, On the theory of univalent functions, Ann. of Math., 37(1936), 374-408. https://doi.org/10.2307/1968451
- M. S. Robertson, Coefficients of functions with bounded boundary rotation, Canad. J. Math., 21(1969), 1477-1482. https://doi.org/10.4153/CJM-1969-161-2
- M. S. Robertson, Univalent functions f(z) for which zf'(z) is spirallike, Michigan Math. J., 16(1969), 97-101. https://doi.org/10.1307/mmj/1029000208
- E. M. Silvia, A note on special classes of p-valent functions, Rocky Mountain J. Math., 9(2)(1979), 365-370. https://doi.org/10.1216/RMJ-1979-9-2-365
- P. G. Umarani, Functions of bounded boundary rotation of complex order, Math. Balkanica, 3(1989), 34-43.
- P. Wiatrowski, The coefficients of a certain family of holomorphic functions, Zeszyty Nauk. Univ. Lodz. Nauki. Math. Przyrod. Ser. II, 39(1971), 75-85.