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## AN APPLICATION OF CARATHEODORY FUNCTIONS

#### SHIGEYOSHI OWA [1]

##### 110 146

Let $\mathcal{P}(\alpha)$ be the class of functions $p(z)$ which are Carath\'eodory functions of order $\alpha \,(0 \leqq \alpha < 1)$ in the open unit disk $\mathbb{U}$. In view of the extremal function $L_0(\alpha;z)$ for the class $\mathcal{P}(\alpha)$, a new class $\mathcal{Q}(\beta)$ of functions $q(z)$ is introduced. The object of the present paper is to discuss some interesting coefficient inequalities for $q(z)$ in the class $\mathcal{Q}(\beta)$.

Analytic function, Carath\'eodory function, extremal function, coefficient inequality
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Konular Mühendislik ve Temel Bilimler Articles Yazar: SHIGEYOSHI OWAÜlke: Japan
 Bibtex @araştırma makalesi { konuralpjournalmath343301, journal = {Konuralp Journal of Mathematics}, issn = {}, eissn = {2147-625X}, address = {Mehmet Zeki SARIKAYA}, year = {2017}, volume = {5}, pages = {19 - 23}, doi = {}, title = {AN APPLICATION OF CARATHEODORY FUNCTIONS}, key = {cite}, author = {OWA, SHIGEYOSHI} } APA OWA, S . (2017). AN APPLICATION OF CARATHEODORY FUNCTIONS. Konuralp Journal of Mathematics, 5 (2), 19-23. Retrieved from http://dergipark.gov.tr/konuralpjournalmath/issue/28490/343301 MLA OWA, S . "AN APPLICATION OF CARATHEODORY FUNCTIONS". Konuralp Journal of Mathematics 5 (2017): 19-23 Chicago OWA, S . "AN APPLICATION OF CARATHEODORY FUNCTIONS". Konuralp Journal of Mathematics 5 (2017): 19-23 RIS TY - JOUR T1 - AN APPLICATION OF CARATHEODORY FUNCTIONS AU - SHIGEYOSHI OWA Y1 - 2017 PY - 2017 N1 - DO - T2 - Konuralp Journal of Mathematics JF - Journal JO - JOR SP - 19 EP - 23 VL - 5 IS - 2 SN - -2147-625X M3 - UR - Y2 - 2017 ER - EndNote %0 Konuralp Journal of Mathematics AN APPLICATION OF CARATHEODORY FUNCTIONS %A SHIGEYOSHI OWA %T AN APPLICATION OF CARATHEODORY FUNCTIONS %D 2017 %J Konuralp Journal of Mathematics %P -2147-625X %V 5 %N 2 %R %U ISNAD OWA, SHIGEYOSHI . "AN APPLICATION OF CARATHEODORY FUNCTIONS". Konuralp Journal of Mathematics 5 / 2 (Ekim 2017): 19-23.