We consider two general integral operators where are the extensions of the Kim-Merkes operator and Pfaltzgraff operator. We will proved in this paper the univalent conditions for these operators when we make some restrictions about the functions from your definitions.
References
Y. J. Kim and E. P. Merkes, On an integral of powers of a spirallike function, Kyungpook Math. J. 12 (1972), 249–253. MR320295 0252.30017Y. J. Kim and E. P. Merkes, On an integral of powers of a spirallike function, Kyungpook Math. J. 12 (1972), 249–253. MR320295 0252.30017
J. Pffaltzgraff, Univalence of the integral of $\left(f^\prime(z) \right)^\lambda$, Bull. London Math. Soc. 7 (1975), 254–256. MR387570 10.1112/blms/7.3.254 0316.30012J. Pffaltzgraff, Univalence of the integral of $\left(f^\prime(z) \right)^\lambda$, Bull. London Math. Soc. 7 (1975), 254–256. MR387570 10.1112/blms/7.3.254 0316.30012
