**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**1957

# Search results for: user-defined functions

##### 1957 The Behavior of The Zeros of Bargmann Analytic Functions for Multiple-Mode Systems

**Authors:**
Muna Tabuni

**Abstract:**

**Keywords:**
Bargmann functions,
two-mode,
zeros,
harmonic oscillator

##### 1956 Some Inequalities Related with Starlike Log-Harmonic Mappings

**Authors:**
Melike Aydoğan,
Dürdane Öztürk

**Abstract:**

**Keywords:**
starlike log-harmonic functions,
univalent functions,
distortion theorem

##### 1955 RAFU Functions in Robotics and Automation

**Authors:**
Alicia C. Sanchez

**Abstract:**

**Keywords:**
automatic navigation control,
lateral control,
lane-keeping control,
RAFU approximation

##### 1954 Subclasses of Bi-Univalent Functions Associated with Hohlov Operator

**Authors:**
Rashidah Omar,
Suzeini Abdul Halim,
Aini Janteng

**Abstract:**

*f*ϵ

*A*is said to be bi-univalent in the open unit disk

*D*if both

*f*and

*f*are univalent in

^{-1}*D*. The symbol

*A*denotes the class of all analytic functions

*f*in

*D*and it is normalized by the conditions

*f*(0) =

*f’*(0) – 1=0. The class of bi-univalent is denoted by The subordination concept is used in determining second and third Taylor-Maclaurin coefficients. The upper bound for second and third coefficients is estimated for functions in the subclasses of bi-univalent functions which are subordinated to the function φ. An analytic function

*f*is subordinate to an analytic function

*g*if there is an analytic function

*w*defined on

*D*with

*w*(0) = 0 and |

*w*(z)| < 1 satisfying

*f*(

*z*) =

*g*[

*w*(

*z*)]. In this paper, two subclasses of bi-univalent functions associated with Hohlov operator are introduced. The bound for second and third coefficients of functions in these subclasses is determined using subordination. The findings would generalize the previous related works of several earlier authors.

**Keywords:**
analytic functions,
bi-univalent functions,
Hohlov operator,
subordination

##### 1953 Geometric Properties of Some q-Bessel Functions

**Authors:**
İbrahim Aktaş,
Árpád Baricz

**Abstract:**

**Keywords:**
bessel function,
lommel function,
radius of starlikeness and convexity,
Struve function

##### 1952 Approximation of Analytic Functions of Several Variables by Linear K-Positive Operators in the Closed Domain

**Authors:**
Tulin Coskun

**Abstract:**

**Keywords:**
analytic functions,
approximation of analytic functions,
Linear k-positive operators,
Korovkin type theorems

##### 1951 Unconventional Calculus Spreadsheet Functions

**Authors:**
Chahid K. Ghaddar

**Abstract:**

**Keywords:**
calculus,
differential algebraic equations,
solvers,
spreadsheet

##### 1950 Fuzzy Control and Pertinence Functions

**Authors:**
Luiz F. J. Maia

**Abstract:**

**Keywords:**
control surface,
fuzzy control,
Inverted pendulum,
pertinence functions

##### 1949 A New Approach for Generalized First Derivative of Nonsmooth Functions Using Optimization

**Authors:**
Mohammad Mehdi Mazarei,
Ali Asghar Behroozpoor

**Abstract:**

**Keywords:**
general derivative,
linear programming,
optimization problem,
smooth and nonsmooth functions

##### 1948 Numerical Solution for Integro-Differential Equations by Using Quartic B-Spline Wavelet and Operational Matrices

**Authors:**
Khosrow Maleknejad,
Yaser Rostami

**Abstract:**

**Keywords:**
ıntegro-differential equations,
quartic B-spline wavelet,
operational matrices,
dual functions

##### 1947 High Accuracy Analytic Approximation for Special Functions Applied to Bessel Functions J₀(x) and Its Zeros

**Authors:**
Fernando Maass,
Pablo Martin,
Jorge Olivares

**Abstract:**

**Keywords:**
analytic approximations,
asymptotic approximations,
Bessel functions,
quasirational approximations

##### 1946 A Qualitative Case Study Exploring Zambian Mathematics Teachers' Content Knowledge of Functions

**Authors:**
Priestly Malambo,
Sonja Van Putten,
Hanlie Botha,
Gerrit Stols

**Abstract:**

**Keywords:**
secondary school,
mathematical reasoning,
student-teachers,
functions

##### 1945 Bernstein Type Polynomials for Solving Differential Equations and Their Applications

**Authors:**
Yilmaz Simsek

**Abstract:**

**Keywords:**
generating functions,
Bernstein basis functions,
Bernstein polynomials,
Bezier curves,
differential equations

##### 1944 Hypergeometric Solutions to Linear Nonhomogeneous Fractional Equations with Spherical Bessel Functions of the First Kind

**Authors:**
Pablo Martin,
Jorge Olivares,
Fernando Maass

**Abstract:**

**Keywords:**
caputo fractional derivatives,
hypergeometric functions,
linear differential equations,
spherical Bessel functions

##### 1943 Exact Formulas of the End-To-End Green’s Functions in Non-hermitian Systems

**Authors:**
Haoshu Li,
Shaolong Wan

**Abstract:**

**Keywords:**
non-Hermitian,
Green's function,
non-Hermitian skin effect,
signal amplification

##### 1942 Certain Results of a New Class of Meromorphic Multivalent Functions Involving Ruscheweyh Derivative

**Authors:**
Kassim A. Jassim

**Abstract:**

**Keywords:**
meromorphic multivalent function,
Ruscheweyh derivative,
hadamard product

##### 1941 Nonhomogeneous Linear Fractional Differential Equations Will Bessel Functions of the First Kind Giving Hypergeometric Functions Solutions

**Authors:**
Fernando Maass,
Pablo Martin,
Jorge Olivares

**Abstract:**

**Keywords:**
Caputo,
fractional calculation,
hypergeometric,
linear differential equations

##### 1940 Some Integral Inequalities of Hermite-Hadamard Type on Time Scale and Their Applications

**Authors:**
Artion Kashuri,
Rozana Liko

**Abstract:**

**Keywords:**
convex functions,
Hermite-Hadamard inequality,
special means,
time scale

##### 1939 Duality in Multiobjective Nonlinear Programming under Generalized Second Order (F, b, φ, ρ, θ)− Univex Functions

**Authors:**
Meraj Ali Khan,
Falleh R. Al-Solamy

**Abstract:**

**Keywords:**
duality,
multiobjective programming,
univex functions,
univex

##### 1938 The Role of Eclectic Approach to Teach Communicative Function at Secondary Level

**Authors:**
Fariha Asif

**Abstract:**

**Keywords:**
methodology,
functions,
teaching,
ESP

##### 1937 Sequential Covering Algorithm for Nondifferentiable Global Optimization Problem and Applications

**Authors:**
Mohamed Rahal,
Djaouida Guetta

**Abstract:**

**Keywords:**
global optimization,
Hölder functions,
sequential covering method,
systems of nonlinear equations

##### 1936 Virtual Routing Function Allocation Method for Minimizing Total Network Power Consumption

**Authors:**
Kenichiro Hida,
Shin-Ichi Kuribayashi

**Abstract:**

**Keywords:**
NFV,
resource allocation,
virtual routing function,
minimum power consumption

##### 1935 Jensen's Inequality and M-Convex Functions

**Authors:**
Yamin Sayyari

**Abstract:**

**Keywords:**
Jensen's inequality,
m-convex function,
Convex function,
Inequality

##### 1934 A Survey on Positive Real and Strictly Positive Real Scalar Transfer Functions

**Authors:**
Mojtaba Hakimi-Moghaddam

**Abstract:**

**Keywords:**
real rational transfer functions,
positive realness property,
strictly positive realness property,
equivalent conditions

##### 1933 Exact Solutions of K(N,N)-Type Equations Using Jacobi Elliptic Functions

**Authors:**
Edamana Krishnan,
Khalil Al-Ghafri

**Abstract:**

**Keywords:**
travelling wave solutions,
solitary wave solutions,
compactons,
Jacobi elliptic functions,
mapping methods

##### 1932 Generalized Hyperbolic Functions: Exponential-Type Quantum Interactions

**Authors:**
Jose Juan Peña,
J. Morales,
J. García-Ravelo

**Abstract:**

**Keywords:**
diatomic molecules,
exponential-type potentials,
hyperbolic functions,
q-deformed potentials

##### 1931 Degree of Approximation of Functions Conjugate to Periodic Functions Belonging to Lipschitz Classes by Product Matrix Means

**Authors:**
Smita Sonker

**Abstract:**

**Keywords:**
signals,
trigonometric fourier approximation,
class W(L^r,
\xi(t),
conjugate fourier series

##### 1930 Linear fractional differential equations for second kind modified Bessel functions

**Authors:**
Jorge Olivares,
Fernando Maass,
Pablo Martin

**Abstract:**

**Keywords:**
Caputo,
modified Bessel functions,
hypergeometric,
linear fractional differential equations,
transform Laplace

##### 1929 Bivariate Generalization of q-α-Bernstein Polynomials

**Authors:**
Tarul Garg,
P. N. Agrawal

**Abstract:**

**Keywords:**
Bögel continuous,
Bögel differentiable,
generalized Boolean sum,
K-functional,
mixed modulus of smoothness

##### 1928 Extensions of Schwarz Lemma in the Half-Plane

**Authors:**
Nicolae Pascu

**Abstract:**

**Keywords:**
schwarz lemma,
Julia-wolf-caratéodory lemma,
analytic function,
normalization condition,
caratéodory function