[PDF] Top 20 Special Numbers on Analytic Functions

... generating functions for the central factorial numbers T n k ( ) , on analytic func- ...these functions, we derive are some functional ...these functions and equ- ations, we give some ... See full document

... Although Nevanlinna theory was studied intensively in complex analysis by many math- ematicians, it was not considered to apply the tools of Nevanlinna theory to generating functions of special ... See full document

... and analytic inequal- ities involving periodic functions and the generating function of Bernoulli numbers, we present several new inequalities and estimates for Mathieu’s series and generalize Math- ... See full document

... generating functions for new families of special numbers and polynomials of higher ...generating functions and their functional equations, we derive identities and relations for these ... See full document

... Pentanacci numbers and as special cases, we investigate Gaussian Pentanacci and Gaussian Pentanacci-Lucas numbers, with their properties such as the generating functions, Binet’s formulas and ... See full document

... The stage dance functions to advertise the dancers; it is a place where dancers work by exchanging gazes with the viewers and performing their special numbers, while identifying the c[r] ... See full document

... between analytic func- tions and a linear operator defined for a certain family of analytic functions which are in- troduced here by means of these linear ...some special cases are ... See full document

... Sedat ˙ILHAN is working as an associate professor in the Department of Mathemat- ics of Faculty of Science in Dicle University, Turkey. He received his M.S. and PhD degrees from Dicle University. His area of interest ... See full document

... Based on this operator, we shall propose a modified integral operator in the open unit disk. This modification leads to define some new classes of analytic functions, specialized by the normalized class of ... See full document

... In this paper we present some new applications of convolution and subordination in geometric function theory. The paper deals with several ideas and techniques used in this topic. Besides being an application to those ... See full document

... Paschalis C. Sofotasios was born in Volos, Greece in 1978. He received the M.Eng. degree from the University of Newcastle upon Tyne, UK, in 2004, the M.Sc. degree from the University of Surrey, UK, in 2006, and the Ph.D. ... See full document

... of analytic and univalent functions in U , and for special choices for the functions φ and ψ involved in these definitions, we can obtain the well-known sub- classes of ... See full document

... where its geometric definition and connections with the conic domains were considered. It is worth mentioning that 1 − U CV = U CV. In recent years many authors investigated interesting properties of these classes. For ... See full document

... In order to prove next theorems, we need the following identity for differentiable functions. A consequence of the identities is that the author establishes some new inequalities connected with the inequalities ... See full document

... Fibonacci functions on the real numbers R, i.e., functions f : R → R such that for all x ∈ R, f (x + 2) = f (x + 1) + f ...Fibonacci functions using the concept of f-even and f -odd ... See full document

... two functions f and g is denoted by f ≺ g and defined as f(z) = g(w(z)), where w(z) is schwarz function in f ...univalent functions, starlike functions and convex functions ...of ... See full document

... all functions in A which are univalent in ...between analytic functions, let the functions f and g be analytic in ...(z), analytic in ∆ ... See full document

... Key words and phrases : Analytic functions , Multivalent functions , Coefficient estimate, Distortion theorem, Starlike functions , Convex functions, Close-to-close functions, [r] ... See full document

... q-valent analytic functions in the unit disk to belong to Q K , a Möbius-invariant space of functions analytic in the unit disk in the plane for a nonde- creasing function K : [0, ∞) → [0, ∞), ... See full document

... the analytic Feynman integral of F exists, although the analytic Feynman integral, lim z→−iq I aw (F; z) = lim z→−iq (z/2π) n/2 R n f ( → u)exp{−(z/2)| → u| 2 }d → u, do not always exist for bounded cylin- ... See full document