Konu "Schwarz lemma on the boundary" için WoS İndeksli Yayınlar Koleksiyonu listeleme
Toplam kayıt 14, listelenen: 1-14
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BEHAVIOR OF HOLOMORPHIC FUNCTIONS ON THE BOUNDARY OF THE UNIT DISC
(KOREAN SOC MATHEMATICAL EDUCATION, 2017)In this paper, we establish lower estimates for the modulus of the non tangential derivative of the holomorphic function f (z) at the boundary of the unit disc. Also, we shall give an estimate below vertical bar f ''(b)vertical ... -
Behavior of Meromorphic Functions at the Boundary of the Unit Disc
(UNIV NIS, FAC SCI MATH, 2017)In this paper, a boundary version of the Schwarz lemma for meromorphic functions is investigated. The modulus of the angular derivative of the meromorphic function I-n f(z) = 1/z + 2(n)c(0) + 3(n)c(1)z+4(n)c(2)z(2) +... ... -
Boundary Schwarz Lemma for Holomorphic Functions
(UNIV NIS, FAC SCI MATH, 2017)In this paper, a boundary version of Schwarz lemma is investigated. We take into consideration a function f (z) holomorphic in the unit disc and f (0) = 0 such that vertical bar R-f vertical bar < 1 for vertical bar z ... -
ESTIMATES FOR HOLOMORPHIC FUNCTIONS CONCERNED WITH JACK'S LEMMA
(PUBLICATIONS L INSTITUT MATHEMATIQUE MATEMATICKI, 2018)We investigate a boundary version of the Schwarz lemma for classes H(alpha). Also, we estimate a modulus of the angular derivative of f(z) function at the boundary point b with f (b) = b/ (beta)root 2, 0 < beta <= 1. The ... -
ESTIMATES FOR SECOND NON-TANGENTIAL DERIVATIVES AT THE BOUNDARY
(KOREAN MATHEMATICAL SOC, 2017)In this paper, a boundary version of Schwarz lemma is investigated. We take into consideration a function f(z) holomorphic in the unit disc and f (0) = 0, f'(0) = 1 such that R f'(z) > 1-alpha/2, -1 < alpha < 1, we estimate ... -
AN IMPROVED LOWER BOUND FOR SCHWARZ LEMMA AT THE BOUNDARY
(KOREAN SOC MATHEMATICAL EDUCATION, 2016)In this paper, a boundary version of the Schwarz lemma for the holomrophic function satisfying f (a) = b, vertical bar a vertical bar < 1, b is an element of C and Rf (z) > alpha, 0 <= alpha < vertical bar b vertical bar ... -
INEQUALITIES FOR THE ANGULAR DERIVATIVES OF CERTAIN CLASSES OF HOLOMORPHIC FUNCTIONS IN THE UNIT DISC
(KOREAN MATHEMATICAL SOC, 2016)In this paper, a boundary version of the Schwarz lemma is investigated. We take into consideration a function f (z) - z+c(p+1)z(p+1)+c(p+2)z(p+2)+... holomorphic in the unit disc and vertical bar f (z)/lambda f(z)+(1-lambda)z ... -
NEW ESTIMATES FOR MEROMORPHIC FUNCTIONS
(Publications L Institut Mathematique Matematicki, 2021)A boundary version of the Schwarz lemma for meromorphic functions is investigated. For the function I-n f(z) = 1/z + Sigma(infinity)(k=2) k(n)c(k-2)z(k-2), belonging to the class of W, we estimate from below the modulus ... -
RESULTS ASSOCIATED WITH THE SCHWARZ LEMMA ON THE BOUNDARY
(Korean Mathematical Soc, 2023)In this paper, some estimations will be given for the analytic functions belonging to the class R (& alpha;). In these estimations, an upper bound and a lower bound will be determined for the first coefficient of the ... -
A SHARP CARATHEODORY'S INEQUALITY ON THE BOUNDARY
(KOREAN MATHEMATICAL SOC, 2016)In this paper, a generalized boundary version of Caratheodory's inequality for holomorphic function satisfying f (z) <= f (0)+ a(p)z(p) + . . ., and Rf (z) = A for |z| < 1 is investigated. Also, we obtain sharp lower bounds ... -
A Sharp Generalization of Schwarz and Caratheodory Inequality on the Boundary
(SOUTHEAST ASIAN MATHEMATICAL SOC-SEAMS, 2016)In this paper, a boundary version of the Generalization of Schwarz and Caratheodory inequality are investigated. New inequalities of the Caratheodory's and Schwarz inequality at boundary are obtained by taking into account ... -
Sharpened Forms for ?-Spirallike Function of Complex Order on the Boundary
(Amer Inst Physics, 2021)We present a different version of Schwarz Lemma and estimate the angular derivative of the function zf'(z)/f(z) from below for lambda-spirallike function f(z) of complex order at the boundary of the unit disc D by taking ... -
Sharpened forms of the generalized Schwarz inequality on the boundary
(INDIAN ACAD SCIENCES, 2016)In this paper, a boundary version of the Schwarz inequality is investigated. We obtain more general results at the boundary. If we know the second coefficient in the expansion of the function f (z) = 1 + c(p)z(P) + ... -
Some Remarks on Schwarz Lemma at the Boundary
(UNIV NIS, FAC SCI MATH, 2017)In this paper, a boundary version of the Schwarz lemma is investigated. We consider a function f holomorphic in the unit disc D, f(a) = b, broken vertical bar a broken vertical bar < 1 and broken vertical bar f(z) - alpha ...