âM.P. University of Agriculture and Technology, Udaipur, India, 10/11 Ganpati Vihar, Op- posite Sector 5, Udaipur 313002, Rajasthan, India.
Apr 17, 2018 - The celebrated de Branges' inequalities (the former Milin ..... [9] F.R. Keogh and E.P. Merkes, A coefficient inequality for certain classes of ...
By logarithmic differentiation of P(z) = zf'(z)/f(z), we have. 1 +. Zfâk). ZP'(Z). -. = p(z) + - f'(z). Pb). = P(Z). (2.3). Let us put z = ~2. Then from (2.1)-(2.3), we have.
Introduction. Let Ð be the class of all analytic functions. (1) f(z) = z + a2z2 + a3z3 + ··· in the open unit disk â = {z â C; |z| < 1}. A function f â Ð is subordinate to ...
(4) simplifies to d/(Je iv, MeiS; z)gE~ for zEA. (5') when. M = mJ >1 J and 0 real. Lemma B. Let fbe analytic in A and let 0 be analytic and univalent in A, with f (O) ...
who developed q-derivative and q-integral in a systematic way. Purohit and Raina [24], ... example a q-analogue of Leibniz' rule. As a right inverse, Jackson [14] ...
vex and alpha-convex functions of hyperbolic complex and of dual complex ...... for x = 0, and simple calculations show that a (SU)-Galilean convex function f,.
The second problem is about coefficient estimate problem for the inverse function of a starlike function of order α. 1. Univalent Starlike and Convex Functions.
j=1 bj â p. â i=1 aj) >. 0. Merkes and Scott [8] used continued fractions to find sufficient conditions for the function ... Silverman [14] and. Dixit and Pathak [2] ...
Mathematical Institute. Slovak Academy of Sciences. 1. Introduction. Let A denote the ...... College of Engineering Guindy. Anna University, Chennai 600 025, ...
Apr 7, 2014 - Let Σ denote the class of meromorphic functions of the form. ( ) = 1. . + .... hypergeometric function defined in (8) takes the form. Ψ ( 1;... ...... BolyaiâSeries Mathematica, vol. 58, no. 4, pp. 529â537 ...
particular case of certain general results by Patel etal. proved by using techniques of differential subordination. (See e.g. Patel and Mishra [30]). Theorem 2.2.
CORRECTION TO 'THE AREA THEOREM FOR. STARLIKE FUNCTIONS'. F. HOLLAND AND D. K. THOMAS. In [1, p. 131, line â3], the exponent of r is given ...
class of all such functions see also Srivastava and Owa 6 . The main .... 2.7. Ž . Ž . Let us define the function g a by r2 a q 1ra q 1 y a sin r2. Ž .Ž . Ž . Ž . g a s a ) 0 .
In this paper, we introduce and investigate new subclasses of strongly bi-starlike and bi-starlike functions defined by Tremblay fractional derivative operator in ...
r + zf "(z)f f'(") or zf '(z)lf e) lying in a given region in the right half plane; the region is often convex and symme
Sep 27, 2016 - µ2(n)G(n â h), where G = g â 1 and g is small. For small ... nâ¤x. F1(n + k1)...Fs(n + ks), with Fj = 1 â fj and fj(p) = O(pâÏ+Ç«) for each j. In [S1] ...
Korean Math. Soc. 46 (2009), No. 5, pp. 905â915. DOI 10.4134/BKMS.2009.46.5.905 ... Making use of a generalized differential operator we intro- duce some ...
Mar 18, 2017 - On the other hand, by convexity: f(trx+(1ât)ry) ⤠tf(rx)+(1ât)f(ry) = th(x)+(1ât)h(y). (1) so we get the wanted inequality by chaining the two inequal ...
erally, if F is any Banach space and Æ : CID-+F is completely con- tinuous and differentiable in D, then Æ(CLD) C CI/(dD). Note that these results are false if C(0, ...
X: \\x\\ < 1} with values in X. The notation f(x) = ax + , a e C, for / e Sίf(B) indicates that ... We shall give the proof of Theorem 1 in §3 below. The subor- dination ...
complex normed linear space with dual X* and J?f(X) the set of continuous linear operators from X into X. We let £Îf(B) denote the set of functions f(x) that are ...
