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Your search keyword '"M. Murahara"' showing total 7 results
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7 results on '"M. Murahara"'

1. Some Symmetry and Duality Theorems on Multiple Zeta(-Star) Values.

Author

Chen, Kwang-Wu, Eie, Minking, and Ong, Yao Lin

Subjects
SYMMETRY, INTEGRALS, EQUATIONS, ZETA functions
Abstract

In this paper, we provide a symmetric formula and a duality formula relating multiple zeta values and zeta-star values. We find that the summation ∑ a + b = r − 1 (− 1) a ζ ★ (a + 2 , { 2 } p − 1) ζ ★ ({ 1 } b + 1 , { 2 } q) equals ζ ★ ({ 2 } p , { 1 } r , { 2 } q) + (− 1) r + 1 ζ ★ ({ 2 } q , r + 2 , { 2 } p − 1) . With the help of this equation and Zagier's ζ ★ ({ 2 } p , 3 , { 2 } q) formula, we can easily determine ζ ★ ({ 2 } p , 1 , { 2 } q) and several interesting expressions. [ABSTRACT FROM AUTHOR]

Published
2024
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2. Algebraic aspects of rooted tree maps.

Author

Murahara, Hideki and Tanaka, Tatsushi

Abstract

Based on the Connes–Kreimer Hopf algebra of rooted trees, rooted tree maps are defined as linear maps on the noncommutative polynomial algebra Q ⟨ x , y ⟩ . It is known that they induce a large class of linear relations for multiple zeta values. In this paper, we show for any rooted tree f there exists a unique polynomial in Q ⟨ x , y ⟩ that gives the image of the rooted tree map f ~ explicitly. We also characterize the antipode maps as the conjugation by the special map τ . [ABSTRACT FROM AUTHOR]

Published
2023
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4. Cyclic relation for multiple zeta functions.

Author

Murahara, Hideki and Onozuka, Tomokazu

Abstract

The cyclic relation obtained in a study by Hirose, Murakami, and the first-named author, is a wide class of relations, which includes the well-known cyclic sum formula for multiple zeta and zeta-star values, and the derivation relation for multiple zeta values. In this paper, we present its generalization to complex variables. Our proof includes a new proof of the cyclic relation. [ABSTRACT FROM AUTHOR]

Published
2022
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6. Polymer Surface Modification to Enhance Adhesion : Techniques and Applications

Author

K. L. Mittal, Anil N. Netravali, K. L. Mittal, and Anil N. Netravali

Abstract

POLYMER SURFACE MODIFICATION TO ENHANCE ADHESION This unique, comprehensive and groundbreaking book is the first on this important subject. Polymer Surface Modification to Enhance Adhesion comprises 13 chapters and is divided into two parts: Part 1: Energetic Treatments; and Part 2: Chemical Treatments. Topics covered include atmospheric pressure plasma treatment of polymers to enhance adhesion; corona treatment of polymer surfaces to enhance adhesion; flame surface treatment of polymers to enhance adhesion; vacuum UV photo-oxidation of polymer surfaces to enhance adhesion; optimization of adhesion of polymers using photochemical surface modification UV/Ozone surface treatment of polymers to enhance adhesion; adhesion enhancement of polymer surfaces by ion beam treatment; polymer surface modification by charged particles; laser surface modification of polymeric materials; competition in adhesion between polysort and monosort functionalized polyolefinic surfaces; amine-terminated dendritic materials for polymer surface modification; arginine-glycine-aspartic acid (RGD) modification of polymer surfaces; and adhesion promoters for polymer surfaces. Audience The book will be of great interest to polymer scientists, surface scientists, adhesionists, materials scientists, plastics engineers, and to those involved in adhesive bonding, packaging, printing, painting, metallization, biological adhesion, biomedical devices, and polymer composites.

Published
2024

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