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Full-Text Articles in Physical Sciences and Mathematics

Some Theorems Involving Inequalities On P-Valent Functions, Hüseyi̇n Irmak, Ömer Faruk Çeti̇n Jan 1999

Some Theorems Involving Inequalities On P-Valent Functions, Hüseyi̇n Irmak, Ömer Faruk Çeti̇n

Turkish Journal of Mathematics

In this paper, some theorems involving inequalities on $p$-valent functions (that is $p$-valenty close-to-convex functions, $p$-valently starlike functions, and $p$-valently convex functions) are given. Moreover, some applications in the theorems which are important for geometric function theory are also included. Keywords: Analytic, $p$-valent, $p$-valently colse-to-convex functions, $p$-valently starlike functions, $p$-valently convex functions, open unit disk, and Jack's Lemma.


Masatoshi Gündüz İkeda, Mehpare Bi̇lhan Jan 1999

Masatoshi Gündüz İkeda, Mehpare Bi̇lhan

Turkish Journal of Mathematics

No abstract provided.


The Weight Equations For Binary Linear Codes, Ersan Akyildiz, İsmai̇l Ş. Güloğlu, Masatoshi Ikeda Jan 1999

The Weight Equations For Binary Linear Codes, Ersan Akyildiz, İsmai̇l Ş. Güloğlu, Masatoshi Ikeda

Turkish Journal of Mathematics

The system of weight equations for a binary $(n, m)$-code with respect to its ordered basis is introduced. It connects certain quantities (characteristics) related to the basis with the weights of non-zero words in the code. It is shown that the portion involving the variables does not depend neither on the code nor on the basis. Explicit forms of the matrix of coefficients in the system and its inverse matrix are computed.


A Survey On Drinfeld Modular Forms, Ernst-Ulrich Gekeler Jan 1999

A Survey On Drinfeld Modular Forms, Ernst-Ulrich Gekeler

Turkish Journal of Mathematics

No abstract provided.


On The Artin Conductor F_{Artin}(\Chi) Of A Character \Chi Of Gal (E/K) I: Basic Definitions, Kazim İlhan İkeda Jan 1999

On The Artin Conductor F_{Artin}(\Chi) Of A Character \Chi Of Gal (E/K) I: Basic Definitions, Kazim İlhan İkeda

Turkish Journal of Mathematics

Let $K$ be a local field with finite residue class field and $E$ a finite Galois extension over $K$. In this paper, we study the Artin conductor $\frak f_{\rm Artin}(\chi_\rho)$ of a character $\chi_\rho$ associated to a representation $\rho:\mbox{Gal}(E/K)\rightarrow GL(V)$ of $\mbox{Gal}(E/K)$ with metabelian kernel $\mbox{ker}(\rho)$. In order to do so, we first review the Artin character $a_{\mbox{Gal}(E/K)}$ of $\mbox{Gal}(E/K)$ and review the metabelian local class field theory. We finally propose the definition of the conductor $\frak f(E/K)$ of a metabelian extension $E/K$ in the sense of Koch-de Shalit local class field theory, and compute $\frak f_{\rm Artin}(\chi_\rho)$ under a …


On The Asymptotic Behavior Of Heegner Points, Jan Nekovar, Norbert Schappacher Jan 1999

On The Asymptotic Behavior Of Heegner Points, Jan Nekovar, Norbert Schappacher

Turkish Journal of Mathematics

We prove that all but finitely many Heegner points on a given modular elliptic curve (or, more generally, on a given quotient of the modular Jacobian variety $J_0(N)$) are of infinite order in the Mordell-Weil group where they naturally live, i.e., over the corresponding ring class field.


Shafarevich-Tate Set For Y^4 = X^4 _ L^2, Takashi Ono Jan 1999

Shafarevich-Tate Set For Y^4 = X^4 _ L^2, Takashi Ono

Turkish Journal of Mathematics

No abstract provided.


Virtual Neighborhoods And Pseudo-Holomorphic Curves, Yongbin Ruan Jan 1999

Virtual Neighborhoods And Pseudo-Holomorphic Curves, Yongbin Ruan

Turkish Journal of Mathematics

No abstract provided.


Criteria Of Le Page Type In Involutive Banach Algebras, Abdellah El Kinani, Mohamed Oudadess Jan 1999

Criteria Of Le Page Type In Involutive Banach Algebras, Abdellah El Kinani, Mohamed Oudadess

Turkish Journal of Mathematics

The Le Page inequality in Banach algebras is \parallel xy \parallel\leq\alpha\parallel yx\parallel. We consider inequalities where a linear involution appears and has consequences on the involution itself and commutativity results.^1


The Projectivity Of The Fundamental Group Of An Affine Line, Moshe Jarden Jan 1999

The Projectivity Of The Fundamental Group Of An Affine Line, Moshe Jarden

Turkish Journal of Mathematics

No abstract provided.