# zbMATH — the first resource for mathematics

## International Journal of Mathematical Education in Science and Technology

 Short Title: Int. J. Math. Educ. Sci. Technol. Publisher: Taylor & Francis, Abingdon, Oxfordshire ISSN: 0020-739X; 1464-5211/e Online: http://www.tandfonline.com/loi/tmes20http://www.ingentaconnect.com/content/tandf/tmes
 Documents Indexed: 1,647 Publications (since 1970) References Indexed: 1,258 Publications with 10,591 References.
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#### Authors

 21 Debnath, Lokenath 21 Dobbs, David Earl 20 Glaister, Paul 19 Fay, Temple H. 17 Shannon, Anthony Greville 17 Srinivasan, V. K. 16 de Oliveira, Edmundo Capelas 15 Dana-Picard, Thierry Noah 14 Chorlton, Frank 14 Trenkler, Götz 13 Asiru, Muniru Aderemi 13 Lynch, Mark A. M. 12 Ward, A. J. B. 11 Deakin, Michael A. B. 10 Chen, Isaac I. H. 10 Klippert, John 10 Kotiah, Thoddi C. T. 10 Nadarajah, Saralees 9 Srivastava, Hari Mohan 9 Withers, Christopher Stroude 8 Gordon, Sheldon P. 8 Leyendekkers, Jean Valerie 8 Mandal, Birendra Nath 7 Abian, Alexander 7 Alzer, Horst 7 Atanassov, Krassimir Todorov 7 Bera, Rajendra K. 7 Griffiths, Martin 7 Lee, Tuo-Yeong 7 McCartney, Mark 7 Tong, Jingcheng 6 Burghes, David N. 6 Burrows, B. L. 6 Chae, Kyung Chul 6 de Villiers, Michael D. 6 Filipponi, Piero 6 Gonzalez-Velasco, Enrique A. 6 Hanson, John Robert 6 Huen, Y. K. 6 Ollerton, Richard L. 6 Prentice, Justin Steven C. 6 Rayward-Smith, Victor J. 6 Sheskin, Theodore J. 6 Tian, Jinghuang 5 Chu, Sydney C. K. 5 Costa, Gabriel B. 5 Das, Rathindra Nath 5 Gauthier, Nadji 5 Haggard, Paul W. 5 Hills, David A. 5 Joubert, Stephan V. 5 Kapur, Jagat Narain 5 Mortici, Cristinel 5 Papp, Francis J. 5 Peters, J. M. H. 5 Råde, Lennart 5 Rüthing, Dieter 5 Sackfield, A. 5 Sezer, Mehmet 5 Smith, Harry V. 5 Stupel, Moshe 5 Subramaniam, K. B. 5 Wares, Arsalan 4 Boyd, James N. 4 Chen, Hongwei 4 Chia, Tse-Tong 4 Chong, Kong-Ming 4 Datta, Barun Kumar 4 Deshpande, M. N. 4 Engelbrecht, Johann 4 Gkioulekas, Eleftherios 4 Grattan-Guinness, Ivor 4 Griffiths, H. Brian 4 Gross, Jürgen 4 Guo, Bai-Ni 4 Hansen, Rodney T. 4 Horadam, Alwyn Francis 4 Huynh Ngoc Phien 4 Kobayashi, Yukio 4 Lipovetsky, Stan 4 Maher, Philip J. 4 Mahmood, Munir 4 Malcata, F. Xavier 4 Man, Yiu-Kwong 4 Mercer, A. McD. 4 Nduka, E. C. 4 O’Keeffe, J. D. 4 Orosi, Greg 4 Qi, Feng 4 Raychowdhury, P. N. 4 Rimer, David 4 Rivera-Figueroa, Antonio 4 Sagan, Hans 4 Samanta, Guru Prasad 4 Sándor, József 4 Seoud, Mohamed Abdel-Azim 4 Shail, Ron 4 Speck, G. P. 4 Spresser, Diane M. 4 Talbot, R. F. ...and 1,089 more Authors
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#### Fields

 430 Mathematics education (97-XX) 221 Real functions (26-XX) 198 Number theory (11-XX) 182 Numerical analysis (65-XX) 155 Ordinary differential equations (34-XX) 122 Geometry (51-XX) 117 Linear and multilinear algebra; matrix theory (15-XX) 99 Probability theory and stochastic processes (60-XX) 95 Statistics (62-XX) 83 Special functions (33-XX) 67 Combinatorics (05-XX) 65 Operations research, mathematical programming (90-XX) 52 History and biography (01-XX) 49 Sequences, series, summability (40-XX) 49 Integral transforms, operational calculus (44-XX) 45 Biology and other natural sciences (92-XX) 44 General and overarching topics; collections (00-XX) 44 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 43 Partial differential equations (35-XX) 43 Approximations and expansions (41-XX) 41 Functions of a complex variable (30-XX) 36 Fluid mechanics (76-XX) 33 Computer science (68-XX) 31 Mechanics of particles and systems (70-XX) 26 Harmonic analysis on Euclidean spaces (42-XX) 25 Mathematical logic and foundations (03-XX) 23 Calculus of variations and optimal control; optimization (49-XX) 23 Mechanics of deformable solids (74-XX) 21 Difference and functional equations (39-XX) 21 Integral equations (45-XX) 21 Convex and discrete geometry (52-XX) 19 Differential geometry (53-XX) 16 Group theory and generalizations (20-XX) 16 Dynamical systems and ergodic theory (37-XX) 15 Field theory and polynomials (12-XX) 14 Measure and integration (28-XX) 12 General topology (54-XX) 11 Operator theory (47-XX) 11 Systems theory; control (93-XX) 10 Potential theory (31-XX) 9 Information and communication theory, circuits (94-XX) 8 Functional analysis (46-XX) 6 Commutative algebra (13-XX) 6 Global analysis, analysis on manifolds (58-XX) 6 Optics, electromagnetic theory (78-XX) 6 Quantum theory (81-XX) 5 Order, lattices, ordered algebraic structures (06-XX) 3 Manifolds and cell complexes (57-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Algebraic geometry (14-XX) 2 Associative rings and algebras (16-XX) 2 Astronomy and astrophysics (85-XX) 2 Geophysics (86-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Abstract harmonic analysis (43-XX) 1 Algebraic topology (55-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX)

#### Citations contained in zbMATH Open

483 Publications have been cited 1,425 times in 1,129 Documents Cited by Year
A method for the approximate solution of the second-order linear differential equations in terms of Taylor polynomials. Zbl 0887.65084
Sezer, Mehmet
1996
Taylor polynomial solutions of Volterra integral equations. Zbl 0823.45005
Sezer, Mehmet
1994
Sumudu transform: A new integral transform to solve differential equations and control engineering problems. Zbl 0768.44003
Watugala, G. K.
1993
A Taylor expansion approach for solving integral equations. Zbl 0683.45001
Kanwal, R. P.; Liu, K. C.
1989
A Taylor polynomial approach for solving high-order linear Fredholm integro-differential equations. Zbl 1018.65152
Nas, Şennur; Yalçınbaş, Salih; Sezer, Mehmet
2000
Chebyshev polynomial solutions of linear differential equations. Zbl 0887.34012
Sezer, Mehmet; Kaynak, Mehmet
1996
Application of Sumudu transform to partial differential equations. Zbl 0812.35004
Weerakoon, Sunethra
1994
Sumudu transform and the solution of integral equations of convolution type. Zbl 1008.45003
2001
The computation of nearly minimal Steiner trees in graphs. Zbl 0512.05024
Rayward-Smith, V. J.
1983
Further properties of the Sumudu transform and its applications. Zbl 1013.44001
2002
Properties of Cordonnier, Perrin and Van der Laan numbers. Zbl 1149.11300
Shannon, A. G.; Anderson, P. G.; Horadam, A. F.
2006
Generalization of Bernoulli polynomials. Zbl 1021.11003
Guo, Bai-Ni; Qi, Feng
2002
Mathematical models in heat flow and diffusion. Zbl 0212.18102
Crank, J.
1970
The equivalence between $$(AB)^\dagger=B^\dagger{}A^\dagger$$ and other mixed-type reverse-order laws. Zbl 1274.15019
Tian, Yongge
2006
Circulant matrices and time-series analysis. Zbl 1002.62070
Pollock, D. S. G.
2002
Complex inversion formula for Sumudu transform. Zbl 1018.44004
Weerakoon, Sunethra
1998
Chebyshev series solutions of Fredholm integral equations. Zbl 0884.65134
Sezer, Mehmet; Doǧan, Setenay
1996
The effects of random fluctuating environment on interacting species with time delay. Zbl 0894.92035
Samanta, G. P.
1996
The concept of rhotrix in mathematical enrichment. Zbl 1269.15004
2003
A note on the Widder transform related to the Poisson integral for a half-plane. Zbl 0561.44002
Srivastava, H. M.; Singh, S. P.
1985
Chebyshev series solution of linear Fredholm integrodifferential equations. Zbl 1025.45004
Köroǧlu, Hayrettin
1998
Tribonacci-like sequences and generalized Pascal’s pyramids. Zbl 1316.97001
Anatriello, Giuseppina; Vincenzi, Giovanni
2014
A short history of the Fibonacci and golden numbers with their applications. Zbl 1273.97003
Debnath, Lokenath
2011
Stochastic analysis of a prey-predator system. Zbl 0879.92030
Samanta, G. P.
1994
Fibonacci-like sequences and generalized Pascal’s triangles. Zbl 1296.97006
Vincenzi, G.; Siani, S.
2014
Derivation of the solution of a simple hypersingular integral equation. Zbl 1018.45004
Chakrabarti, A.; Mandal, B. N.
1998
Rethinking pedagogy for second-order differential equations: a simplified approach to understanding well-posed problems. Zbl 1397.97034
Tisdell, Christopher C.
2017
On reconstruction of a matrix by its minors. Zbl 1397.97019
Akhtyamov, Azamat; Amram, Meirav; Mouftakhov, Artour
2018
The legacy of Leonhard Euler – a tricentennial tribute. Zbl 1297.01035
Debnath, Lokenath
2009
On the geometrization of the Peano curve and the arithmetization of the Hilbert curve. Zbl 0776.28006
Sagan, Hans
1992
A generalized Kronecker product and linear systems. Zbl 1018.15026
Martínez, José-Javier
1999
Energy and the nonsymmetric nonlinear spring. Zbl 1101.70307
Fay, Temple H.; Joubert, Stephan V.
1999
Triangle centres: Some questions in Euclidean geometry. Zbl 1011.51006
Hajja, Mowaffaq
2001
On the decomposition method for the approximate solution of nonlinear ordinary differential equations. Zbl 1019.34005
Khuri, S. A.
2001
The Frobenius method for complex roots of the indicial equation. Zbl 0367.34006
Neuringer, Joseph L.
1978
Matrix-tertions and matrix-noitrets: exercises in mathematical enrichment. Zbl 1269.15005
Atanassov, K. T.; Shannon, A. G.
1998
The equation $$R_nx=b$$ over rhotrices. Zbl 1292.97030
2010
Arrowhead curves in a tree of Pythagorean triples. Zbl 0817.11018
Shannon, A. G.; Horadam, Alwyn F.
1994
Polynomial solutions of certain classes of ordinary differential equations. Zbl 0684.34005
Costa, Gabriel B.; Levine, Lawrence E.
1989
Convergence regions for some multiple Mellin-Barnes contour integrals representing generalized hypergeometric functions. Zbl 0589.33006
Buschman, R. G.; Srivastava, H. M.
1986
Bisoptic curves of hyperbolas. Zbl 1314.97005
Dana-Picard, Thierry; Mann, Giora; Zehavi, Nurit
2014
Estimation of probability densities by empirical density functions. Zbl 0374.62039
Waterman, M. S.; Whiteman, D. E.
1978
Integral presentations of Catalan numbers and Wallis formula. Zbl 1273.97040
Dana-Picard, Thierry
2011
A note on water waves created by surface disturbances. Zbl 0482.76025
Wen, Shih-Liang
1982
The forced soft spring equation. Zbl 1138.34319
Fay, T. H.
2006
Equifacial tetrahedra. Zbl 1011.51007
Hajja, Mowaffaq; Walker, Peter
2001
Uniform convergence of a sequence of functions at a point. Zbl 1006.26003
Klippert, J.; Williams, G.
2002
A theorem on a Laplace-type integral transform and its applications. Zbl 1018.44001
Yürekli, Osman; Sayginsoy, Özgen
1998
Total colourings of Cartesian products. Zbl 0881.05043
Seoud, M. A.; Abd El Maqsoud, A. E. I.; Wilson, Robin J.; Williams, Jini
1997
Explicit closed forms for parametric integrals. Zbl 1431.26004
Dana-Picard, Thierry
2004
Integral presentations of Catalan numbers. Zbl 1292.97016
Dana-Picard, Thierry
2010
Vector cross products in n dimensions. Zbl 0631.15020
Shaw, Ronald
1987
Generalized exponential and logarithmic polynomials with statistical applications. Zbl 0656.33001
Shanmugam, Ramalingam
1988
Rhotrix vector spaces. Zbl 1292.97031
2010
Schwarz lemma analogues for harmonic functions. Zbl 0355.31004
Hethcote, Herbert W.
1977
Discovering relationships and patterns by exploring trapezoidal numbers. Zbl 0773.11015
Haggard, Paul W.; Morales, Kelly L.
1993
Dynamic programming formulation of the redundancy allocation problem. Zbl 0225.90018
Misra, K. B.
1971
Boundary value technique for initial value problems based on Adams-type second derivative methods. Zbl 1292.97059
Jator, S. N.; Sahi, R. K.
2010
Bounded solutions to $$x^{\prime \prime}+q(t)b(x)=f(t)$$. Zbl 1292.97047
Kroopnick, Allan J.
2010
A second order nonlinear system with conservative limit cycles. Zbl 0406.34038
Kaplan, B. Z.
1978
Elliptic trigonometry. Zbl 0421.44002
Chen, Isaac I. H.
1979
A note on gambler’s ruin against an infinitely rich adversary. Zbl 0448.60046
Munford, A. G.; Lewis, S. M.
1981
Rational Ball curves. Zbl 1018.65023
Tien, H. L.; Hansuebsai, D.; Phien, H. N.
1999
Convergence for Fourier series solutions of the forced harmonic oscillator. Zbl 1029.34011
Fay, Temple H.
2000
Computing absorption probabilities for a Markov chain. Zbl 0757.65158
Sheskin, Theodore J.
1991
The generalized wave equation revisited. Zbl 0900.35214
Ducati, G. C.; Capelas de Oliveira, E.
1995
The taming of a monster: A parametrization of the von Koch curve. Zbl 0879.28015
Sagan, Hans
1994
A matrix map for prime and non-prime numbers. Zbl 0966.11500
Huen, Y. K.
1994
The generation and analysis of Pythagorean triples within a two-parameter grid. Zbl 0881.11033
Leyendekkers, J. V.; Rybak, J.
1995
Parametric integrals and Catalan numbers. Zbl 1430.11038
Dana-Picard, Thierry
2005
Operator factorization and the solution of second-order linear ordinary differential equations. Zbl 1407.34001
Robin, W.
2007
Sequence factorial of $$g$$-gonal numbers. Zbl 1293.97014
Asiru, Muniru A.
2013
Sequence factorial and its applications. Zbl 1241.97007
Asiru, Muniru A.
2012
A novel proof of Roth’s removal rule. Zbl 0803.15013
Ward, A. J. B.
1993
Water waves generated at an inertial surface by an axisymmetric initial surface disturbance. Zbl 0675.76015
Mandal, B. N.; Mukherjee, S.
1989
Binet’s formula for generalized tribonacci numbers. Zbl 1337.97003
Cereceda, José Luis
2015
Geometrical meaning of arithmetic series $$\sum_{k=1}^n k$$, $$\sum_{k=1}^n k^2$$ and $$\sum_{k=1}^n k^3$$ in terms of the elementary combinatorics. Zbl 1273.97038
Kobayashi, Yukio
2011
An example of linear mappings: extension to rhotrices. Zbl 1292.97032
2010
An extension of the mean value theorem for integrals. Zbl 1292.97043
Khalili, Parviz; Vasiliu, Daniel
2010
The Gergonne relations and the intuitive use of Euler and Venn diagrams. Zbl 0357.04003
Grattan-Guinness, I.
1977
An elementary calculus method for evaluating $$\sum_{k=1}^{\infty}\frac{(-1)^{k-1}}{2k-1}$$, $$\sum_{k=1}^{\infty}\frac{1}{k^2}$$, $$\sum_{k=1}^{\infty}\frac{(-1)^{k-1}}{(2k-1)^3}$$, $$\sum_{k=1}^{\infty}\frac{1}{k^4}$$,…. Zbl 1314.97009
Lee, Tuo Yeong; Xiong, Yuxuan
2014
Sequences with M-bonacci property and their finite sums. Zbl 05530011
Asiru, Muniru A.
2008
A closed-form formula for the inverse of the nivellateur in the solution of Sylvester’s matrix equation. Zbl 0768.15010
Ward, A. J. B.
1993
Sibling curves and complex roots. II: Looking ahead. Zbl 1357.12002
Harding, Ansie; Engelbrecht, Johann
2007
Conversion of a rhotrix to a ‘coupled matrix’. Zbl 05306325
Sani, B.
2008
A comparison of numerical and analytical methods for the solution of a Riccati equation. Zbl 0697.34006
Fu, W. B.
1989
A new approach for proving or generating combinatorial identities. Zbl 1292.97051
González, Luis
2010
Motivating the Laplace transform. Zbl 0473.44002
Deakin, Michael A. B.
1981
Finite and infinite sets: definitions and intuitions. Zbl 1027.00502
Tirosh, Dina
1999
The uses of homogeneous barycentric coordinates in plane Euclidean geometry. Zbl 1019.51021
Yiu, Paul
2000
Beats and periodicity for the forced harmonic oscillator. Zbl 1026.34047
Fay, Temple H.
2000
The Gibbs’ phenomenon and harmonic oscillators with periodic forcing. Zbl 1026.34042
Fay, Temple H.
2000
The Moore-Penrose inverse of a semi-magic square is semi-magic. Zbl 1012.15005
Schmidt, Karsten; Trenkler, Götz
2001
Cubic polynomials, their roots and the Perron-Frobenius theorem. Zbl 1006.26009
DeAlba, Luz Maria
2002
Tetrahedron and octahedron fractals. Zbl 1014.28005
Zeitler, Herbert
1998
A general analysis of Sylvester’s matrix equation. Zbl 0748.15015
Ward, A. J. B.
1991
Some interesting properties of the natural number system. Zbl 0966.11501
Huen, Y. K.
1996
Operational versus transform calculus: The similarities and the differences. Zbl 0890.44004
Deakin, Michael A. B.
1996
Letter to the editor: The ‘Sumudu transform’ and the Laplace transform. Zbl 0885.44002
Deakin, Michael A. B.
1997
Letter to the editor: The “Sumudu transform” and the Laplace transform. Zbl 0885.44003
Weerakoon, Sunethra
1997
On reconstruction of a matrix by its minors. Zbl 1397.97019
Akhtyamov, Azamat; Amram, Meirav; Mouftakhov, Artour
2018
Rethinking pedagogy for second-order differential equations: a simplified approach to understanding well-posed problems. Zbl 1397.97034
Tisdell, Christopher C.
2017
Alternate solution to generalized Bernoulli equations via an integrating factor: an exact differential equation approach. Zbl 1397.97033
Tisdell, C. C.
2017
Improved pedagogy for linear differential equations by reconsidering how we measure the size of solutions. Zbl 1397.97035
Tisdell, Christopher C.
2017
Critical perspectives of pedagogical approaches to reversing the order of integration in double integrals. Zbl 1397.97030
Tisdell, Christopher C.
2017
A generalization of generalized Fibonacci and generalized Pell numbers. Zbl 1396.97004
Abd-Elhameed, W. M.; Zeyada, N. A.
2017
Linear algebra-based solution of the gambler’s ruin problem. Zbl 1396.97024
Orosi, Greg
2017
Cannibalism and chaos in the classroom. Zbl 1396.97026
Abernethy, Gavin M.; McCartney, Mark
2017
A generalization of the spherical inversion. Zbl 1396.97010
Ramírez, José L.; Rubiano, Gustavo N.
2017
Why the $$n^{\text{th}}$$-root function is not a rational function. Zbl 1397.97022
Dobbs, David E.
2017
Exploration of parametric integrals related to a question of soil mechanics. Zbl 1396.97020
Dana-Picard, Thierry; Zeitoun, David
2017
Revival of a classical topic in differential geometry: the exploration of envelopes in a computerized environment. Zbl 1345.97009
Dana-Picard, Thierry; Zehavi, Nurit
2016
On an assumption of geometric foundation of numbers. Zbl 1342.97005
Anatriello, Giuseppina; Tortoriello, Francesco Saverio; Vincenzi, Giovanni
2016
Waggling conical pendulums and visualization in mechanics. Zbl 1343.97010
Cumber, Peter S.
2016
A new method to solve the second-order linear difference equations with constant coefficients. Zbl 1343.97008
Rivera-Figueroa, Antonio; Rivera-Rebolledo, José Manuel
2016
Finding sums for an infinite class of convergent series. Zbl 1343.97007
Lee, Tuo Yeong; Lim, Yu Chen; Wu, Shuo An
2016
The arithmetico-geometric sequence: an application of linear algebra. Zbl 1343.97006
Orosi, Greg
2016
An introduction to Minkowski geometries. Zbl 1343.97004
Farnsworth, David L.
2016
The Lucas $$p$$-triangle. Zbl 1343.97003
Kuhapatanakul, Kantaphon
2016
A simple demonstration of zero factorial equals one. Zbl 1345.97010
Mahmood, Munir; Mahmood, Ibtihal
2016
Homothetic transformations and geometric loci: properties of triangles and quadrilaterals. Zbl 1396.97009
Mammana, Maria Flavia
2016
Binet’s formula for generalized tribonacci numbers. Zbl 1337.97003
Cereceda, José Luis
2015
An introduction to hyperharmonic numbers. Zbl 1318.97004
Cereceda, José Luis
2015
The Lucas $$p$$-matrix. Zbl 1337.97006
Kuhapatanakul, Kantaphon
2015
A short history of probability theory and its applications. Zbl 1317.60005
2015
A simple proof of a classical identity. Zbl 1317.97002
Glebov, Gleb
2015
Fermat’s point from five perspectives. Zbl 1318.97005
Park, Jungeun; Flores, Alfinio
2015
Alternative approach to second-order linear differential equations with constant coefficients. Zbl 1337.97019
Rivera-Figueroa, Antonio; Rivera-Rebolledo, José Manuel
2015
The Fermat point for a taxicab triangle. Zbl 1318.97007
Hanson, J. R.
2015
A unified method for evaluating several infinite series. Zbl 1337.97013
Lim, Yu Chen; Wu, Shuo An; Lee, Tuo Yeong
2015
An algebraic approach to finding the Fermat-Torricelli point. Zbl 1337.97008
Palacios-Vélez, Óscar Luis; Pedraza-Oropeza, Felipe J. A.; Escobar-Villagran, Bernardo Samuel
2015
Tribonacci-like sequences and generalized Pascal’s pyramids. Zbl 1316.97001
Anatriello, Giuseppina; Vincenzi, Giovanni
2014
Fibonacci-like sequences and generalized Pascal’s triangles. Zbl 1296.97006
Vincenzi, G.; Siani, S.
2014
Bisoptic curves of hyperbolas. Zbl 1314.97005
Dana-Picard, Thierry; Mann, Giora; Zehavi, Nurit
2014
An elementary calculus method for evaluating $$\sum_{k=1}^{\infty}\frac{(-1)^{k-1}}{2k-1}$$, $$\sum_{k=1}^{\infty}\frac{1}{k^2}$$, $$\sum_{k=1}^{\infty}\frac{(-1)^{k-1}}{(2k-1)^3}$$, $$\sum_{k=1}^{\infty}\frac{1}{k^4}$$,…. Zbl 1314.97009
Lee, Tuo Yeong; Xiong, Yuxuan
2014
Asymptotic formulas for $$g$$-gonal sequence factorials. Zbl 1314.97003
2014
Geometric loci and homothetic transformations. Zbl 1296.97009
Ferrarello, Daniela; Mammana, Maria Flavia; Pennisi, Mario
2014
Convergence of $$m$$-bonacci ‘golden ratios’. Zbl 1296.97003
Ahrens, K.; Brown, D. A.; Kramer, A.
2014
$$n$$-tribonacci triangles and applications. Zbl 1316.97002
Kuhapatanakul, Kantaphon; Sukruan, Lalitphat
2014
Simple expansions for sine and cosine. Zbl 1314.97006
2014
Introduction of the differential transform method to solve differential equations at undergraduate level. Zbl 1314.97011
Munganga, J. M. W.; Mwambakana, J. N.; Maritz, R.; Batubenge, T. A.; Moremedi, G. M.
2014
Asymptotic formulas for sequence factorial of arithmetic progression. Zbl 1314.97007
Aṣiru, Muniru A.
2014
Generalized local test for local extrema in single-variable functions. Zbl 1296.97017
Gkioulekas, Eleftherios
2014
Monte Carlo integration – a case-study for simulation. Zbl 1296.97023
Ritter, Stefan
2014
A further investigation of using Theon’s ladder to find roots of quadratic equations. Zbl 1296.97010
Horgan, Casey; Herzinger, Kurt
2014
A class of integrals on squares, cubes and hypercubes. Zbl 1296.97018
McCartney, Mark
2014
Asymptotic expansions for the reciprocal of the gamma function. Zbl 1296.97015
2014
Some new mean value theorems of Flett type. Zbl 1316.97007
Tan, Chengguan; Li, Songxiao
2014
Elementary proofs of the identities $$\mathrm{csc}^2 \theta = \frac{1}{\theta ^2} +\sum_{k=1}^{\infty}(\frac{1}{(k\pi + \theta)^2} + \frac{1}{(k\pi - \theta)^2})$$, $$\cot \theta = \frac{1}{\theta}-\sum_{k=1}^{\infty} \frac{2\theta}{k^2\pi^2-\theta^2}$$ and $$\sin\theta = \theta\prod_{k=1}^{\infty}(1-\frac{\theta^2}{k^2\pi^2})$$. Zbl 1316.97006
Lee, Tuo Yeong; Xiong, Yuxuan
2014
A geometrical construction of inverse points with respect to an ellipse. Zbl 1316.97003
Ramírez, José Luis; Rubiano, Gustavo N.
2014
Computing Feigenbaum’s $$\delta$$ constant using the Ricker map. Zbl 1316.97008
McCartney, Mark; Glass, David H.
2014
Sequence factorial of $$g$$-gonal numbers. Zbl 1293.97014
Asiru, Muniru A.
2013
Sums of Fibonacci-Pell-Jacobsthal products. Zbl 1293.97019
Koshy, Thomas
2013
Using infinite series and complex numbers to derive formulas involving Laplace transforms. Zbl 1293.97052
Dobbs, David E.
2013
The use of graphs in specific situations of the initial conditions of linear differential equations. Zbl 1293.97058
Buendía, Gabriela; Cordero, Francisco
2013
A short biography of Paul A. M. Dirac and historical development of Dirac delta function. Zbl 1293.01019
Debnath, Lokenath
2013
Recursion formulae of $$1^{\ell} +\;2^{\ell} +\dots +\;n^{\ell}$$ and their combinatoric meaning in terms of the tree diagrams. Zbl 1290.97016
Kobayashi, Yukio
2013
Raw and central moments of binomial random variables via Stirling numbers. Zbl 1290.97018
Griffiths, Martin
2013
A brief historical introduction to determinants with applications. Zbl 1291.15001
Debnath, L.
2013
Sequence factorial and its applications. Zbl 1241.97007
Asiru, Muniru A.
2012
An elementary proof of the identity $$\cot \theta = \frac{1}{\theta}\sum _{k=1}^{\infty} \frac{2 \theta}{\theta ^2 - k^2 \pi ^2}$$. Zbl 1286.97008
Ho, Weng Kin; Ho, Foo Him; Lee, Tuo Yeong
2012
Parametric improper integrals, Wallis formula and Catalan numbers. Zbl 1241.97005
Dana-Picard, Thierry; Zeitoun, David G.
2012
A thing of beauty is a joy for ever. Zbl 1242.51017
Srinivasan, V. K.
2012
Sequences of definite integrals, infinite series and Stirling numbers. Zbl 1273.97041
Dana-Picard, Thierry; Zeitoun, David G.
2012
The characterizations of triangles using the nine-point circles. Zbl 1260.97004
Srinivasan, V. K.
2012
Slip and slide method of factoring trinomials with integer coefficients over the integers. Zbl 1241.97002
Donnell, William A.
2012
On rank and nullity. Zbl 1273.97032
Dobbs, David E.
2012
Solving the water jugs problem by an integer sequence approach. Zbl 1273.97017
Man, Yiu-Kwong
2012
A short history of the Fibonacci and golden numbers with their applications. Zbl 1273.97003
Debnath, Lokenath
2011
Integral presentations of Catalan numbers and Wallis formula. Zbl 1273.97040
Dana-Picard, Thierry
2011
Geometrical meaning of arithmetic series $$\sum_{k=1}^n k$$, $$\sum_{k=1}^n k^2$$ and $$\sum_{k=1}^n k^3$$ in terms of the elementary combinatorics. Zbl 1273.97038
Kobayashi, Yukio
2011
A brief historical development of classical mathematics before the Renaissance. Zbl 1274.01009
Debnath, Lokenath
2011
Integral representation of the pictorial proof of $$\sum_{k=1}^n k^2=\frac{1}{6}n(n+1)(2n+1)$$. Zbl 1273.97037
Kobayashi, Yukio
2011
The parabolas of Artzt in the solution of a geometric problem of minimum length. Zbl 1273.97024
Klaoudatos, Nikos
2011
Amplification and suppression of round-off error in Runge-Kutta methods. Zbl 1273.97063
Prentice, J. S. C.
2011
Linear ordinary differential equations with constant coefficients. Revisiting the impulsive response method using factorization. Zbl 1273.97043
Camporesi, Roberto
2011
Maximal outboxes of quadrilaterals. Zbl 1273.97025
Zhao, Dongsheng
2011
Row-sum of a class of M-bonomial coefficients. Zbl 1273.97013
Asiru, Muniru A.
2011
Generating sudoku puzzles and its applications in teaching mathematics. Zbl 1273.97050
Evans, Ryan; Lindner, Brett; Shi, Yixun
2011
Parameter estimates in differential equation models for chemical kinetics. Zbl 1273.97061
Winkel, Brian
2011
A converse of the mean value theorem made easy. Zbl 1273.97035
Mortici, Cristinel
2011
Construction of logarithm tables for Galois fields. Zbl 1273.97030
Torres-Jimenez, Jose; Rangel-Valdez, Nelson; Gonzalez-Hernandez, Ana Loreto; Avila-George, Himer
2011
Families of linear recurrences for Catalan numbers. Zbl 1273.97014
Gauthier, N.
2011
Finding the best quadratic approximation of a function. Zbl 1273.97065
Yang, Yajun; Gordon, Sheldon P.
2011
The equation $$R_nx=b$$ over rhotrices. Zbl 1292.97030
2010
Integral presentations of Catalan numbers. Zbl 1292.97016
Dana-Picard, Thierry
2010
Rhotrix vector spaces. Zbl 1292.97031
2010
Boundary value technique for initial value problems based on Adams-type second derivative methods. Zbl 1292.97059
Jator, S. N.; Sahi, R. K.
2010
Bounded solutions to $$x^{\prime \prime}+q(t)b(x)=f(t)$$. Zbl 1292.97047
Kroopnick, Allan J.
2010
An example of linear mappings: extension to rhotrices. Zbl 1292.97032
2010
An extension of the mean value theorem for integrals. Zbl 1292.97043
Khalili, Parviz; Vasiliu, Daniel
2010
A new approach for proving or generating combinatorial identities. Zbl 1292.97051
González, Luis
2010
On the summation of subseries in closed form. Zbl 1292.97040
Chen, Hongwei
2010
Some new Fibonacci and Lucas identities by matrix methods. Zbl 1292.97020
Keskin, Refik; Demirtürk, Bahar
2010
M-bonomial coefficients and their identities. Zbl 1292.97013
Aṣiru, Muniru A.
2010
Lord Brouncker’s forgotten sequence of continued fractions for pi. Zbl 1292.97023
Osler, Thomas J.
2010
On the hybrid method with three off-step points for initial value problems. Zbl 1292.97058
Jator, S. N.
2010
Simple and clear proofs of Stirling’s formula. Zbl 1292.97022
Niizeki, Shozo; Araki, Makoto
2010
A new family of Schröder’s method and its variants based on power means for multiple roots of nonlinear equations. Zbl 1292.97029
Kanwar, V.; Sharma, Kapil K.; Behl, Ramandeep
2010
Solving differential equations using modified Picard iteration. Zbl 1292.97048
Robin, W. A.
2010
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