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Mathematische Zeitschrift, ISSN 0025-5874, 2/2019, Volume 291, Issue 1, pp. 711 - 739
We prove that all Langlands–Shahidi automorphic L-functions over function fields are rational; after twists by highly ramified characters they become... 
22E50 | Mathematics, general | Mathematics | Primary 11F70 | 22E55 | MATHEMATICS | REDUCTIVE GROUPS | CLASSIFICATION | EISENSTEIN SERIES | EULER PRODUCTS
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 10/2015, Volume 268, pp. 844 - 858
In the paper, by induction, the Faà di Bruno formula, and some techniques in the theory of complex functions, the author finds explicit formulas for higher... 
Bell polynomial of the second kind | Tangent number | Bernoulli number | Explicit formula | Derivative polynomial | Euler polynomial | MATHEMATICS, APPLIED | BERNOULLI NUMBERS | INEQUALITIES | IDENTITIES | COMPLETE MONOTONICITY | STIRLING NUMBERS | POLYNOMIALS | EXPLICIT FORMULAS | INTEGRAL-REPRESENTATION | 2ND KIND | 1ST KIND
Journal Article
1996, ISBN 9780471113133, xii, 374
This book gives an introduction to the classical, well-known special functions which play a role in mathematical physics, especially in boundary value... 
Functions, Special | Boundary value problems | Mathematical physics
Book
by Kim, T and Kim, D.S
Russian Journal of Mathematical Physics, ISSN 1061-9208, 04/2017, Volume 24, Issue 2, pp. 241 - 248
In this paper, we introduce the degenerate Laplace transform and degenerate gamma function and investigate some of their properties. From our investigation, we... 
POLYNOMIALS | IDENTITIES | PHYSICS, MATHEMATICAL | EULER NUMBERS | Mathematics - Number Theory
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 11/2014, Volume 247, pp. 348 - 352
Journal Article
Review of Scientific Instruments, ISSN 0034-6748, 10/2018, Volume 89, Issue 10, p. 105001
The measurement of hand kinematics is important for the assessment and rehabilitation of the paralysed hand. The traditional method of hand function assessment... 
SYSTEMS | INSTRUMENTS & INSTRUMENTATION | PHYSICS, APPLIED | THERAPY | MOTION | Euler angles | Inertial sensing devices | Calibration | Rotation | Yaw | Rangefinding | Motion sensors | Rolling motion | Wrist | Goniometers | Elbow (anatomy) | Kinematics | Pitch (inclination) | Sensors | Rehabilitation
Journal Article
Systems & Control Letters, ISSN 0167-6911, 06/2017, Volume 104, pp. 66 - 71
A new explicit Lyapunov function allows to study the exponential stability for a class of physical ‘2 by 2’ hyperbolic systems with nonuniform steady states.... 
Euler equation | Stability | Lyapunov | Partial differential equation | Hyperbolic | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | FEEDBACK STABILIZATION | CLASSICAL-SOLUTIONS | GAS-FLOW | AUTOMATION & CONTROL SYSTEMS | Fluid dynamics | Analysis | Differential equations
Journal Article
Mechanical Systems and Signal Processing, ISSN 0888-3270, 02/2016, Volume 68-69, pp. 155 - 175
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 07/2018, Volume 463, Issue 1, pp. 398 - 411
The Mellin transform and several Dirichlet series related with the Riemann zeta function are used to deduce some identities similar to the classical Müntz... 
Riemann zeta function | Müntz-type formulas | Dirichlet series | Arithmetic functions | Euler gamma function | Mellin transform | MATHEMATICS | MATHEMATICS, APPLIED | Miintz-type formulas
Journal Article
Applied Acoustics, ISSN 0003-682X, 05/2019, Volume 148, pp. 484 - 494
An analytical solution for determining the behavior of the multi-span cracked beam under concentrated load is presented. In this paper, the analytical approach... 
Multi cracked beam | Euler–Bernoulli beam | Dynamic Green Function | Forced vibration | Multi-span beam | ACOUSTICS | SUPPORTED BEAMS | FREQUENCY | MASS | SUBJECT | IDENTIFICATION | DAMAGE | Euler-Bernoulli beam | Usage | Analysis | Vibration
Journal Article
Journal of Number Theory, ISSN 0022-314X, 04/2020, Volume 209, pp. 347 - 358
We deal with various Diophantine equations involving the Euler totient function and various sequences of numbers, including factorials, powers, and Fibonacci... 
Euler totient function | Diophantine equations | Fibonacci sequences | Integer sequences | MATHEMATICS | FIBONACCI | LUCAS
Journal Article
Journal of Number Theory, ISSN 0022-314X, 09/2019, Volume 202, pp. 278 - 297
We obtain reasonably tight upper and lower bounds on the sum ∑n⩽xφ(⌊x/n⌋), involving the Euler functions φ and the integer parts ⌊x/n⌋ of the reciprocals of... 
Euler function | Exponent pair | Reciprocals | Integer part
Journal Article