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On Certain Novel Subclasses of Analytic and Univalent Functions
IRMAK, HUSEYIN,JOSHI, SANTOSH BHAURAO,RAINA, RAVINDER KRISHEN 대한수학회 2006 Kyungpook mathematical journal Vol.46 No.4
The purpose of the present paper is to introduce two novel subclasses T_(μ), (n, λ, α) and H_(μ)(n, λ, α; κ) of analytic and univalent functions with negative coefficients, involving Ruscheweyh derivative operator. The various results investigated in this paper include coefficient estimates, distortion inequalities, radii of close-to-convexity, starlikenes, and convexity for the functions belonging to the class Tμ(n, λ, α). These results are then appropriately applied to derive similar geometrical properties for the other class H_(μ)(n, λ, α; κ) of analytic and univalent functions. Relevant connections of these results with those in several earlier investigations are briefly indicated.
Upper bounds of second Hankel determinant for universally prestarlike functions
Om Ahuja,Murugesan Kasthuri,GANGADHARAN. MURUGUSUNDARAMOORTHY,Kaliappan Vijaya 대한수학회 2018 대한수학회지 Vol.55 No.5
In \cite{Rusche1,Rusche2} the researchers introduced universally convex, universally starlike and universally prestarlike functions in the slit domain $\mathbb{C}\backslash \lbrack 1,\infty )$. These papers extended the corresponding notions from the unit disc to other discs and half-planes containing the origin. In this paper, we introduce universally prestarlike generalized functions of order $\alpha $ with $\alpha \leq 1$ and we obtain upper bounds of the second Hankel determinant $|a_{2}a_{4}-a_{3}^{2}|$ for such functions.
ON CERTAIN GENERALIZED q-INTEGRAL OPERATORS OF ANALYTIC FUNCTIONS
PUROHIT, SUNIL DUTT,SELVAKUMARAN, KUPPATHAI APPASAMY Korean Mathematical Society 2015 대한수학회보 Vol.52 No.6
In this article, we first consider a linear multiplier fractional q-differintegral operator and then use it to define new subclasses of p-valent analytic functions in the open unit disk U. An attempt has also been made to obtain two new q-integral operators and study their sufficient conditions on some classes of analytic functions. We also point out that the operators and classes presented here, being of general character, are easily reducible to yield many diverse new and known operators and function classes.
Development of Function-Adaptive Revitalization Indicators for Yedang National Tourism Resort
Ohjun Kwon,Kyoungjin Lee 전북대학교 휴양및경관계획연구소 2017 휴양및경관연구 (J East Asian Landscape Studies) Vol.11 No.1
This study aims to present a strategic direction in revitalizing tourist destinations using the concept of “functional adaptation” and applying it to the Yedang National Tourism Resort located in Yesan-gun in Chungcheungnam-do, which is losing its functionality as a tourist attraction. The term “functional adaptation” as used in this study refers to applying an intervention to natural changes while maintaining the existing functions, adapting them to changing tourism marketing paradigms. First, problems and potential functions were derived from relevant literature, on-site surveys, and in-depth interviews with insiders from the target resort. Indicators of revitalizing tourist destinations were then preselected from the reviewed literature data, and the final function-adaptive activation indicators were developed after subjecting the preselected preliminary indicators to reliability testing through a Likert-scale questionnaire survey with experts. Finally, the analytic hierarchy process (AHP) was employed for an importance-analysis of individual elements of the developed indicators. The analyses revealed the tourism resort’s “storytelling development” as having the highest importance, followed by “transport connectivity”, and “amusement/leisure programs offered”. The function-adaptive activation indicators developed in this study were applied to the Yedang National Tourism Resort for the importance-analysis of its functions, but the generalizability in applying the proposed indicators to other tourist sites has not yet been established. The findings of this study are expected to serve as an input for setting up strategies for tourist site revitalization in future in-depth research.
K. Vijaya,G. Murugusundaramoorthy,N. E. Cho 경남대학교 수학교육과 2021 Nonlinear Functional Analysis and Applications Vol.26 No.1
The main object of this present paper is to study some majorization problems for certain classes of analytic functions defined by means of q-calculus operator associated with exponential function.
UPPER BOUNDS OF SECOND HANKEL DETERMINANT FOR UNIVERSALLY PRESTARLIKE FUNCTIONS
Ahuja, Om,Kasthuri, Murugesan,Murugusundaramoorthy, Gangadharan,Vijaya, Kaliappan Korean Mathematical Society 2018 대한수학회지 Vol.55 No.5
In [12,13] the researchers introduced universally convex, universally starlike and universally prestarlike functions in the slit domain ${\mathbb{C}}{\backslash}[1,{\infty})$. These papers extended the corresponding notions from the unit disc to other discs and half-planes containing the origin. In this paper, we introduce universally prestarlike generalized functions of order ${\alpha}$ with ${\alpha}{\leq}1$ and we obtain upper bounds of the second Hankel determinant ${\mid}a_2a_4-a^2_3{\mid}$ for such functions.
THE HARDY SPACE OF RAMANUJAN-TYPE ENTIRE FUNCTIONS
Erhan Deniz,Murat Çağlar 호남수학회 2023 호남수학학술지 Vol.45 No.1
In this paper, we deal with some geometric properties including starlikeness and convexity of order β of Ramanujan-type entire functions which are natural extensions of classical Ramanujan entire functions. In addition, we determine some conditions on the parameters such that the Ramanujan-type entire functions belong to the Hardy space and to the class of bounded analytic functions.
GEOMETRIC PROPERTIES ON (j, k)-SYMMETRIC FUNCTIONS RELATED TO STARLIKE AND CONVEX FUNCTION
Gochhayat, Priyabrat,Prajapati, Anuja Korean Mathematical Society 2022 대한수학회논문집 Vol.37 No.2
For j = 0, 1, 2,…, k - 1; k ≥ 2; and - 1 ≤ B < A ≤ 1, we have introduced the functions classes denoted by ST<sub>[j,k]</sub>(A, B) and K<sub>[j,k]</sub>(A, B), respectively, called the generalized (j, k)-symmetric starlike and convex functions. We first proved the sharp bounds on |f(z)| and |f'(z)|. Various radii related problems, such as radius of (j, k)-symmetric starlikeness, convexity, strongly starlikeness and parabolic starlikeness are determined. The quantity |a<sup>2</sup><sub>3</sub> - a<sub>5</sub>|, which provide the initial bound on Zalcman functional is obtained for the functions in the family ST<sub>[j,k]</sub>. Furthermore, the sharp pre-Schwarzian norm is also established for the case when f is a member of K<sub>[j,k]</sub>(α) for all 0 ≤ α < 1.
ON CERTAIN GENERALIZED q-INTEGRAL OPERATORS OF ANALYTIC FUNCTIONS
Sunil Dutt Purohit,Kuppathai Appasamy Selvakumaran 대한수학회 2015 대한수학회보 Vol.52 No.6
In this article, we first consider a linear multiplier fractional q-differintegral operator and then use it to define new subclasses of p- valent analytic functions in the open unit disk U. An attempt has also been made to obtain two new q-integral operators and study their sufficient conditions on some classes of analytic functions. We also point out that the operators and classes presented here, being of general character, are easily reducible to yield many diverse new and known operators and function classes.
Saliu Afis,Kanwal Jabeen,Semiu Oladipupo Oladejo,Olaide Yetunde Saka-Balogun 한국전산응용수학회 2023 Journal of applied mathematics & informatics Vol.41 No.5
In this present work, we inaugurated subclasses of analytic functions which are associated with generalized Mittag Leffler Functions. Inclusion implications and integral preserving properties under the Bernardi integral operator are investigated. Some consequences of these findings are also illustrated.