Let f and F be members of . The function f is said to be subordinate to F, or F is said to be superordinate to f , if there exists a function w analytic in U, with w(0)= 0 and |w(z)| < 1, and such that f (z)= F(w(z)). In such a case, we write f ≺ F or f (z)≺ F(z). If the function F is univalent in U, then f ≺ F if and only if f (0)= F(0) and f (U)⊂ F(U) (cf. [1, 2]). Let φ : C2 → C and let h be...

In the present work, we aim to introduce and investigate a novel comprehensive subclass of normalized analytic bi-univalent functions involving Gegenbauer polynomials zero-truncated Poisson distribution. For in aforementioned class, find upper estimates second third Taylor–Maclaurin coefficients, then solve Fekete–Szegö functional problem. Moreover, by setting values parameters included our mai...

In this paper, we introduce a new comprehensive subclass ?B(?,?,?) of meromorphic bi-univalent functions in the open unit disk U. We also find upper bounds for initial Taylor-Maclaurin coefficients |b0|, |b1| and |b2| subclass. Moreover, obtain estimates general |bn|(n?1) by making use Faber polynomial expansion method. The results presented paper would generalize improve several recent works o...

By using the generalization of neutrosophic q-Poisson distribution series, we introduce a new subclass analytic and bi-univalent functions defined in open unit disk. We then apply q-Gegenbauer polynomials to investigate estimates for Taylor coefficients Fekete–Szegö type inequalities belonging this subclass. In addition, consider several corollaries consequences results presented paper. The is ...

In the present paper, authors introduce and investigates two new subclasses and, of class k-fold bi-univalent functions in open unit disk. The initial coefficients for all that belong to them were determined, as well a field determining these requires complicated process. bounds are contained among remaining results our analysis obtained. addition, some specific special improver related classes...

In current manuscript, using Laguerre polynomials and (p−q)-Wanas operator, we identify upper bounds a2 a3 which are first two Taylor-Maclaurin coefficients for a specific bi-univalent functions classes W∑(η,δ,λ,σ,θ,α,β,p,q;h) K∑(ξ,ρ,σ,θ,α,β,p,q;h) cover the convex starlike functions. Also, discuss Fekete-Szegö type inequality defined class.

In the real world there are many applications that find Bell distribution to be a useful and relevant model. One of these is normal distribution. this paper, we develop new subclass analytic bi-univalent functions by making use as building block. These involve Gegenbauer polynomials, them establish our subclass. study, solve Fekete–Szegö functional problem analyse various different estimates Ma...

The present report explores the chromosomal patterns during meiosis as a fundamental cell division study in wild rice (Oryza rufipogon Griff.). Cytological assays revealed normal meiosis in most cases but in some instances meiotic abnormalities such as weak desynapsis, univalent and quadrivalent formation, translocation, spindle abnormalities and precocious movement of chromosomes were noticed....