A study of analytic functions along with Poisson distribution by Muhammad Ashfaq, Afis Saliu, Syed Zakar Hussain Bukhari, Asma Munir

“…In this paper, we introduce some new families of analytic functions by using Hadamard product while keeping conic like domains in view. …”
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ON WIDTHS OF SOME CLASSES OF ANALYTIC FUNCTIONS IN A CIRCLE by Mirgand Sh. Shabozov, Muqim S. Saidusainov

“…These classes consist of functions \(f\) analytic in the unit circle, their \(r\)th order derivatives \(f^{(r)}\) belong to the Hardy space \(H_{q},\) \(1\leq q\leq\infty,\) and the averaged moduli of smoothness of boundary values of \(f^{(r)}\) are bounded by a given majorant \(\Phi\) at the system of points \(\{\pi/(2k)\}_{k\in\mathbb{N}}\); more precisely, $$ \frac{k}{\pi-2}\int_{0}^{\pi/(2k)}\omega_{2}(f^{(r)},2t)_{H_{q,\rho}}dt\leq \Phi\left(\frac{\pi}{2k}\right) $$ for all \(k\in\mathbb{N}\), \(k>r.\)…”
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On analytic continuation and functional equation of certain Dirichlet series by E. Carletti, G. Monti Bragadin

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APPROXIMATION OF THE DIFFERENTIATION OPERATOR ON THE CLASS OF FUNCTIONS ANALYTIC IN AN ANNULUS by Roman R. Akopyan

Subjects: “…Best approximation of operators, Optimal recovery, Analytic functions…”
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Notes on certain class of analytic functions with negative coefficients by Shigeyoshi Owa, Tadayuki Sekine, Teruo Yaguchi, Mamoru Nunokawa, Donka Pashkouleva

“…The object of the present paper is to show the extreme points of the class A(n,Bk) consisting of analytic functions with negative coefficients and the support points of the subclass A *(n,Bk) of A(n,Bk).…”
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On a Class of Analytic Functions Defined by an Integral Operator by Pravati Sahoo, Saumya Singh

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Non-Carathéodory analytic functions with respect to symmetric points by Daniel Breaz, Kadhavoor R. Karthikeyan, Elangho Umadevi

“…The authors introduce new classes of analytic function with respect [Formula: see text]-symmetric points subordinate to a domain that is not Carathéodory. …”
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Hankel and Toeplitz determinants for a subclass of analytic functions by M. Buyankara, M. Çağlar

Subjects: “…analytic functions;…”
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Applications of Ruscheweyh derivatives and Hadamard product to analytic functions by M. L. Mogra

“…For given analytic functions ϕ(z)=z+∑m=2∞ λm zm,ψ(z)=z+∑m=2∞ μm zm in U={z||z|<1} with λm≥0,μm≥0 and λm≥μm, let En(ϕ,ψ;A,B) be the class of analytic functions f(z)=z+∑m=2∞am zm in U such that (f*Ψ)(z)≠0 and Dn+1(f*ϕ)(z)Dn(f*Ψ)(z)≪1+Az1+Bz,      −1≤A<B≤1,  z∈U, where Dnh(z)=z(zn−1h(z))(n)/n!…”
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The Functional-Analytic Properties of the Limit q-Bernstein Operator by Sofiya Ostrovska

“…Its approximation properties, probabilistic interpretation, eigenstructure, and impact on the smoothness of a function have been examined. In this paper, the functional-analytic properties of Bq are studied. …”
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On Some Analytic Functions Defined by a Multiplier Transformation by Khalida Inayat Noor

“…We introduce and study a new class of analytic functions defined in the unit disc using a certain multiplier transformation. …”
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Subclass of Analytic Functions Related with Pascal Distribution Series by Amnah E. Shammaky, Basem Aref Frasin, Tamer M. Seoudy

“…The prime purpose of this article is to derive a necessary and sufficient condition for a linear operator associated with the Pascal distribution series to be in the class TSμ,σ,δ of analytic functions. Moreover, inclusion relation and an integral operator linked to the Pascal distribution series is considered. …”
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Operators acting on certain Banach spaces of analytic functions by K. Seddighi, K. Hedayatiyan, B. Yousefi

Subjects: “…Banach spaces of analytic functions…”
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On Subclass of Analytic Univalent Functions Associated with Negative Coefficients by Ma'moun Harayzeh Al-Abbadi, Maslina Darus

“…In this present paper, we shall investigate a new subclass of analytic functions in the open unit disk U={z∈ℂ:|z|<1} which is defined by new generalized derivative operator. …”
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On a Subclass of Analytic Functions Related to a Hyperbola by Jagannath Patel, Ashok Kumar Sahoo

“…The object of the present investigation is to solve Fekete-Szegö problem and determine the sharp upper bound to the second Hankel determinant for a new class ℛ̃(a,c,ρ) of analytic functions in the unit disk. We also obtain a sufficient condition for an analytic function to be in this class.…”
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Fractional Calculus of Analytic Functions Concerned with Möbius Transformations by Nicoleta Breaz, Daniel Breaz, Shigeyoshi Owa

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An Analytic Characterization of p,q-White Noise Functionals by Anis Riahi, Amine Ettaieb, Wathek Chammam, Ziyad Ali Alhussain

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Some Bohr-Type Inequalities for Bounded Analytic Functions by Hong Wang

“…In this paper, some new versions of Bohr-type inequalities with one parameter or involving convex combination for bounded analytic functions of Schwarz function are established. …”
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On radii of convexity and starlikeness of some classes of analytic functions by Khalida Inayat Noor

“…The principal results in this paper are the determination of the radius of β-starlikeness and β-convexity of f(z) with β=1−A1−B, when f(z) is restricted to certain classes of univalent and analytic functions related vith P[A,B].…”
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Certain Conditions for Starlikeness of Analytic Functions of Koebe Type by Saibah Siregar, Maslina Darus

“…For 𝛼≥0, 𝜆>0, we consider the 𝑀(𝛼,𝜆)𝑏 of normalized analytic 𝛼−𝜆 convex functions defined in the open unit disc 𝕌. …”
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