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Filomat, ISSN 0354-5180, 1/2016, Volume 30, Issue 7, pp. 1957 - 1967
In this paper, we obtain a new identity using the partial fraction decomposition... 
Binomials | Partial fraction decomposition | Grants | Extension | Binomial identity | MATHEMATICS | MATHEMATICS, APPLIED | extension | partial fraction decomposition | HARMONIC NUMBERS | FORMULAS | SUMS
Journal Article
The Ramanujan Journal, ISSN 1382-4090, 12/2015, Volume 38, Issue 3, pp. 455 - 463
... based on the partial fraction decomposition, and use them to determine a basis for the space of modular forms of weight $$k$$ k on $$\mathrm{SL}_2 ({\mathbb Z})$$ SL... 
Fourier Analysis | Functions of a Complex Variable | Partial fraction decomposition | Field Theory and Polynomials | Eisenstein series | MSC 11F67 | Mathematics | Number Theory | Combinatorics | MSC 11F11 | FORMS | MATHEMATICS
Journal Article
Chemical Physics, ISSN 0301-0104, 2010, Volume 370, Issue 1, pp. 109 - 114
Journal Article
Forum Mathematicum, ISSN 0933-7741, 03/2015, Volume 27, Issue 2, pp. 735 - 766
We provide new formulas for the coefficients in the partial fraction decomposition of the restricted partition generating function... 
partial fraction decomposition | Bernoulli polynomial | 11P82 | Sylvester wave | 11B68 | Restricted partition | MATHEMATICS | MATHEMATICS, APPLIED | SERIES
Journal Article
Applicable Algebra in Engineering, Communication and Computing, ISSN 0938-1279, 11/2015, Volume 26, Issue 5, pp. 427 - 463
Journal Article
Proceedings of the American Mathematical Society, ISSN 0002-9939, 01/2008, Volume 136, Issue 1, pp. 229 - 237
The partial fraction decomposition method is explored to establish several interesting trigonometric function identities, which may have applications to the evaluation of classical multiple... 
Complex numbers | Interpolation | Partial fractions | Applied mathematics | Natural numbers | Partial fraction decomposition | Sine function | Polynomials | Cots | Trigonometric identities | MATHEMATICS | MATHEMATICS, APPLIED | partial fraction decomposition | trigonometric interpolation | THEOREMS | trigonometric formulae
Journal Article
IEEE Transactions on Circuits and Systems II: Express Briefs, ISSN 1549-7747, 08/2019, Volume 66, Issue 8, pp. 1461 - 1465
In this brief, we consider the minimax design of infinite impulse response (IIR) filter. First, we apply the partial fraction method to decompose the transfer... 
minimax design | Circuits and systems | Stability criteria | IIR digital filter | Transfer functions | partial fraction decomposition | Circuit stability | Optimization | Numerical stability | DIGITAL-FILTERS | PRESCRIBED MAGNITUDE | ENGINEERING, ELECTRICAL & ELECTRONIC
Journal Article
Journal Article
Applicable Analysis and Discrete Mathematics, ISSN 1452-8630, 4/2008, Volume 2, Issue 1, pp. 65 - 68
.... Appl. Anal. Discrete Math., 1 (2007), 397-402, are treated by inverting them; the resulting sums are evaluated using partial fraction decomposition, following Wenchang Chu... 
Discrete mathematics | Partial fraction decomposition | Identity | Partial fractions decomposition | Inverse pairs | MATHEMATICS | MATHEMATICS, APPLIED | decomposition | inverse pairs | partial fractions
Journal Article
KUWAIT JOURNAL OF SCIENCE, ISSN 2307-4108, 01/2020, Volume 47, Issue 1, pp. 14 - 21
.... Our approach uses the elementary technique of partial fraction decomposition. Furthermore, some of the sums, which he studied in 2017, are treated in the same style. 
MULTIDISCIPLINARY SCIENCES | Partial fraction decomposition | reciprocal sum identities | trigonometric functions
Journal Article
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 2007, Volume 207, Issue 2, pp. 331 - 337
We find convergent double series expansions for Legendre's third incomplete elliptic integral valid in overlapping subdomains of the unit square. Truncated... 
Series expansion | Asymptotic approximation | Incomplete elliptic integral | Partial fraction decomposition | MATHEMATICS, APPLIED | partial fraction decomposition | series expansion | incomplete elliptic integral | ASYMPTOTIC EXPANSIONS | asymptotic approximation | Mathematics - Classical Analysis and ODEs
Journal Article
Journal Article
International Journal of Number Theory, ISSN 1793-0421, 09/2016, Volume 12, Issue 6, pp. 1421 - 1474
.... We find the behavior of coefficients in the partial fraction decomposition of this product as N... 
partial fraction decomposition | saddle-point method | Restricted partitions | dilogarithm | MATHEMATICS | CONJECTURE
Journal Article
Journal Article
Turkish Journal of Mathematics, ISSN 1300-0098, 2018, Volume 42, Issue 1, pp. 307 - 311
A class of double sums with binomial coefficients are evaluated by combining finite differences with partial fraction decompositions. 
Finite difference | Binomial coefficient | Telescoping method | Partial fraction decomposition | MATHEMATICS | partial fraction decomposition | telescoping method | IDENTITIES | finite difference
Journal Article
Journal of Engineering Mechanics, ISSN 0733-9399, 08/2016, Volume 142, Issue 8, pp. 1 - 10
AbstractSystems of second-order linear ordinary differential equations (ODEs) to arbitrary input functions appear in many fields of physics and engineering.... 
Technical Papers | Laplace transform | Residue | Dynamic analysis | Pole | Partial fraction expansion | DECOMPOSITION | ENGINEERING, MECHANICAL | Mechanics | Usage | Laplace transformation | Research | Differential equations | Tests, problems and exercises
Journal Article
International Journal of Mathematical Education in Science and Technology, ISSN 0020-739X, 07/2017, Volume 48, Issue 5, pp. 802 - 808
We present a method for finding partial fraction decompositions of rational functions with linear or quadratic factors in the denominators by means of repeated polynomial divisions... 
cover-up technique | polynomial division template | repeated polynomial divisions | Partial fraction decomposition | Validity | Mathematics Instruction | Equations (Mathematics) | Problem Solving | Mathematical Logic | Teaching Methods | Fractions
Journal Article
Mathematica Slovaca, ISSN 0139-9918, 04/2019, Volume 69, Issue 2, pp. 327 - 338
.... By means of partial fraction decomposition, first the main theorems are proved and then some corollaries of them are... 
Primary 11B39 | Secondary 05A30 | binomial coefficients | Fibonomial and Lucanomial coefficients | sums identites | partial fraction decomposition | Gaussian | Gaussian q-binomial coefficients | MATHEMATICS | GENERALIZED FIBONACCI | IDENTITIES | FIBONOMIAL SUMS
Journal Article
Ars Combinatoria, ISSN 0381-7032, 2013, Volume 109, pp. 71 - 86
By means of partial fraction decomposition method, we evaluate a very general determinant of formal shifted factorial fractions, which covers numerous binomial... 
MATHEMATICS | Partial fractions | The Cauchy double alternant | Binomial coefficients | NUMBERS | PATHS | CAUCHY DETERMINANT | ENUMERATION | PLANE PARTITIONS | Hankel determinant
Journal Article
MISKOLC MATHEMATICAL NOTES, ISSN 1787-2405, 2017, Volume 18, Issue 1, pp. 251 - 264
.... Our approach is straight-forward and simple. First we convert the sums in q-notation, then use partial fraction decomposition and telescoping to derive closed formul ae. 
MATHEMATICS | partial fraction decomposition | reciprocal sums identities
Journal Article
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