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### Some Inequaliteis for Starklike Functions.

Monatshefte für Mathematik

### On the absolute summability |C, r+1|_k of the conjugate series of the r-th derived series of Fourier series

Commentationes Mathematicae

The article contains no abstract

### Convolution theorems for starlike and convex functions in the unit disc

Annales Polonici Mathematici

Let A denote the space of all analytic functions in the unit disc Δ with the normalization f(0) = f’(0) − 1 = 0. For β < 1, let $P{⁰}_{\beta }=f\in A:Re{f}^{\text{'}}\left(z\right)>\beta ,z\in \Delta$. For λ > 0, suppose that denotes any one of the following classes of functions: ${M}_{1,\lambda }^{\left(1\right)}=f\in :Rez{\left(z{f}^{\text{'}}\left(z\right)\right)}^{\text{'}\text{'}}>-\lambda ,z\in \Delta$, ${M}_{1,\lambda }^{\left(2\right)}=f\in :Rez{\left(z²{f}^{\text{'}\text{'}}\left(z\right)\right)}^{\text{'}\text{'}}>-\lambda ,z\in \Delta$, ${M}_{1,\lambda }^{\left(3\right)}=f\in :Re1/2{\left(z{\left(z²{f}^{\text{'}}\left(z\right)\right)}^{\text{'}\text{'}}\right)}^{\text{'}}-1>-\lambda ,z\in \Delta$. The main purpose of this paper is to find conditions on λ and γ so that each f ∈ is in ${}_{\gamma }$ or ${}_{\gamma }$, γ ∈ [0,1/2]. Here ${}_{\gamma }$ and ${}_{\gamma }$ respectively denote the class of all starlike functions of order γ and the class of all convex functions of order γ. As a consequence, we obtain a number...

### On union curves and pseudogeodesics in a Finsler subspace from the standpoint of non-linear connections

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti

La teoria delle connessioni non-lineari negli spazi di Finsler è stata studiata da Vagner [1], Barthel [2], Kawaguchi [3] e Singh [4]. Scopo di questa Nota è lo studio di particolari sistemi di curve ("Union curves" e pseudogeodetiche) di un sottospazio dello spazio di Finsler.

### Computationally efficient technique for solving ODE systems exhibiting initial and boundary layers.

Mathematical Problems in Engineering

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