A. F. Horadam

Generating author description...

All published works

Action	Title	Year	Authors
+	Properties of Cordonnier, Perrin and Van der Laan numbers	2006	A. G. Shannon Peter G. Anderson A. F. Horadam
+	“Fibonacci’s Liber Abaci”: A Translation into Modern English of Leonardo Pisano’s Book of Calculation, By L.E. Sigler	2004	A. F. Horadam
+	Generalized Pell Numbers and Polynomials	2004	A. G. Shannon A. F. Horadam
+	Unexpected Pell and Quasi Morgan-Voyce Summation Connections	2003	A. F. Horadam
+	Reflections on the Lambda Triangle	2002	A. G. Shannon A. F. Horadam
+	Morgan-Voyce Polynomial Derivative Sequences	2001	A. F. Horadam Piero Filipponi
+	Quasi Morgan-Voyce Polynomials and Pell Convolutions	1999	A. F. Horadam
+	Morgan-Voyce Type Generalized Polynomials with Negative Subscripts	1998	A. F. Horadam
+	New Aspects of Morgan-Voyce Polynomials	1998	A. F. Horadam
+	First Derivative Sequences of Extended Fibonacci and Lucas Polynomials	1998	Piero Filipponi A. F. Horadam
+	Proceedings of 'The Seventh International Research Conference on Fibonacci Numbers and Their Applications', Technische Universität, Graz, Austria, July 15-19, 1996	1998	Gerald E. Bergum Ανδρέας Ν. Φιλίππου A. F. Horadam
+	A Search for Solutions of a Functional Equation	1996	A. G. Shannon R. P. Loh R. S. Melham A. F. Horadam
+	Partial Derivative Sequences of Second-Order Recurrence Polynomials	1996	Piero Filipponi A. F. Horadam
+	A Synthesis of Certain Polynomial Sequences	1996	A. F. Horadam
+	Applications of Fibonacci Numbers : Volume 6 Proceedings of 'The Sixth International Research Conference on Fibonacci Numbers and Their Applications', Washington State University, Pullman, Washington, U.S.A., July 18-22, 1994	1996	Gerald E. Bergum Ανδρέας Ν. Φιλίππου A. F. Horadam
+	Proceedings of 'The Sixth International Research Conference on Fibonacci Numbers and Their Applications', Washington State University, Pullman, Washington, U.S.A., July 18-22, 1994	1996	Gerald E. Bergum Ανδρέας Ν. Φιλίππου A. F. Horadam
+	Minmax Sequences for Pell Numbers	1996	A. F. Horadam
+	Real Pell and Pell-Lucas Numbers with Real Subscripts	1995	A. F. Horadam Piero Filipponi
+	Integration and Derivative Sequences for Pell and Pell-Lucas Polynomials	1994	A. F. Horadam Swita Baki Piero Filipponi
+	Addendum to “Second Derivative Sequences of Fibonacci and Lucas Polynomials”	1994	Piero Filipponi A. F. Horadam
+	Arrowhead curves in a tree of Pythagorean triples	1994	A. G. Shannon A. F. Horadam
+	Second Derivative Sequences of Fibonacci and Lucas Polynomials	1993	Piero Filipponi A. F. Horadam
+	Pell-Type Number Generators of Pythagorean Triples	1993	A. F. Horadam A. G. Shannon
+	A note on the improper use of a formula for Fibonacci numbers	1993	Piero Filipponi O. Brugia A. F. Horadam
+	Proceedings of 'the Fifth International Conference on Fibonacci Numbers and Their Applicaitons', The University of St. Andrews, Scotland, July 20-24, 1992	1993	Gerald E. Bergum Ανδρέας Ν. Φιλίππου A. F. Horadam
+	Integration Sequences of Fibonacci and Lucas Polynomials	1993	A. F. Horadam Piero Filipponi
+	Zeckendorf Representations of Positive and Negative Integers by Pell Numbers	1993	A. F. Horadam
+	Generation of Genocchi Polynomials of First Order by Recurrence Relations	1992	A. F. Horadam
+ PDF Chat	Negative Order Genocchi Polynomials	1992	A. F. Horadam
+	Fibonacci's Mathematical Letter to Master Theodorus	1991	A. F. Horadam
+	Cholesky Algorithm Matrices of Fibonacci Type and Properties of Generalized Sequences	1991	A. F. Horadam Piero Filipponi
+	Genocchi Polynomials	1991	A. F. Horadam
+	Proceedings of 'The Fourth International Conference on Fibonacci Numbers and Their Applications', Wake Forest University, N.C., U.S.A., July 30-August 3, 1990	1991	Gerald E. Bergum Ανδρέας Ν. Φιλίππου A. F. Horadam
+	Derivative Sequences of Fibonacci and Lucas Polynomials	1991	Piero Filipponi A. F. Horadam
+	Third-Order Diagonal Functions of Pell Polynomials	1990	Br. J. M. Mahon A. F. Horadam
+	A Survey of Properties of Third Order Pell Diagonal Functions	1990	Br. J. M. Mahon A. F. Horadam
+	Applications of Fibonacci numbers: procceedings of the Third International Conference on Fibonacci Numbers and Their Applications	1990	G.E. Bergum Seoane A. F. Horadam Ανδρέας Ν. Φιλίππου
+	Proceedings of 'The Third International Conference on Fibonacci Numbers and Their Applications', Pisa, Italy, July 25-29, 1988	1990	Gerald E. Bergum Ανδρέας Ν. Φιλίππου A. F. Horadam
+	Applications of Fibonacci numbers : proceedings of 'the Third International Conference on Fibonacci Numbers and Their Applicaitons', Pisa, Italy, July 25-29, 1988	1990	Gerald E. Bergum Ανδρέας Ν. Φιλίππου A. F. Horadam
+	Falling Factorial Polynomials of Generalized Fibonacci Type	1990	A. F. Horadam
+	Generalizations of Sequences of Lucas and Bell	1990	A. G. Shannon A. F. Horadam
+	Applications of Fibonacci Numbers.	1989	C. T. Gray Ανδρέας Ν. Φιλίππου A. F. Horadam Gerald E. Bergum
+	Fibonacci and Lucas Curves	1988	A. F. Horadam A. G. Shannon
+	Asveld’s Polynomials pj(n)	1988	A. F. Horadam A. G. Shannon
+	Applications of Fibonacci numbers : proceedings of 'The Second International Conference on Fibonacci Numbers and Their Applications' San Jose State University, California, U.S.A., August 1986	1988	Ανδρέας Ν. Φιλίππου A. F. Horadam Gerald E. Bergum
+	Generalization of a result of Morgado	1987	A. F. Horadam
+	Euclidean Coordinates as Generalized Fibonacci Numbers Products	1986	A. F. Horadam S. Pethe
+ PDF Chat	Generalised Gaussian Fibonacci numbers	1986	S. Pethe A. F. Horadam
+	Cyclotomy-Generated Polynomials of Fibonacci Type	1986	A. F. Horadam A. G. Shannon
+	Convolutions for Pell Polynomials	1986	A. F. Horadam J. M. Mahon
+	Infinite Series Summation Involving Reciprocals of Pell Polynomials	1986	J. M. Mahon A. F. Horadam
+	Fibonacci Numbers and Their Applications	1986	Ανδρέας Ν. Φιλίππου Gerald E. Bergum A. F. Horadam
+	Zigzag Polynomials	1985	A. F. Horadam
+	Pell and Pell-Lucas Polynomials	1985	A. F. Horadam J. M. Mahon
+	Pell Numbers and Coaxal Circles	1984	A. F. Horadam
+	Coaxal Circles Associated with Recurrence-Generated Sequences	1984	A. F. Horadam
+	Pythagorean Triples	1982	A. F. Horadam
+	Combinatorial Aspects of an Infinite Pattern of Integers	1982	A. F. Horadam A. G. Shannon
+	Polynomials Associated with Gegenbauer Polynomials	1981	A. F. Horadam S. Pethe
+	Special Recurrence Relations Associated with the Sequence { <i>w</i> <sub> <i>n</i> </sub> ( <i>a</i> , <i>b</i> ; <i>p</i> , <i>q</i> ))	1979	A. G. Shannon A. F. Horadam
+	Divisibility properties of some fibonacci-type sequences	1979	A. F. Horadam R. P. Loh A. G. Shannon
+	Combinatorial mathematics VI : proceedings of the Sixth Australian Conference on Combinatorial Mathematics, Armidale, Australia, August 1978	1979	A. F. Horadam W. D. Wallis
+	Diagonal Functions	1978	A. F. Horadam
+	Some Congruences for Fibonacci Numbers	1974	A. G. Shannon A. F. Horadam S. N. Collings
+	Some Aspects of Generalized Fibonacci Numbers	1974	John Walton A. F. Horadam
+	Oressvie Numbers	1974	A. F. Horadam
+	Some Further Identities for the Generalized Fibonacci.Sequence { <i> H <sub>n</sub> </i> }	1974	John Walton A. F. Horadam
+	Generalized Fibonacci Number Triples	1973	A. G. Shannon A. F. Horadam
+	Generalized Fibonacci Number Triples	1973	A. G. Shannon A. F. Horadam
+	Some Properties of Third-Order Recurrence Relations	1972	A. G. Shannon A. F. Horadam
+	Reciprocals of Generalized Fibonacci Numbers	1971	A. G. Shannon A. F. Horadam
+	A Generalized Pythagorean Theorem	1971	A. G. Shannon A. F. Horadam
+	INVERSE TRIGONOMETRICAL FUNCTIONS	1968	A. F. Horadam
+	GEOMETRICAL APPLICATIONS OF THE DEFINITE INTEGRAL	1968	A. F. Horadam
+	INFINITE SERIES AND SEQUENCES	1968	A. F. Horadam
+	CURVES: CARTESIAN COORDINATES	1968	A. F. Horadam
+	THE NATURE OF GEOMETRY	1968	A. F. Horadam
+	CURVATURE	1968	A. F. Horadam
+	CONICS	1968	A. F. Horadam
+	PARTIAL DIFFERENTIATION	1968	A. F. Horadam
+	THE HYPERBOLA	1968	A. F. Horadam
+	HYPERBOLIC FUNCTIONS	1968	A. F. Horadam
+	COMPLEX NUMBERS	1968	A. F. Horadam
+	DIFFERENTIAL CALCULUS	1968	A. F. Horadam
+	INDEFINITE INTEGRALS	1968	A. F. Horadam
+ PDF Chat	Groups Associated with Certain Loci In [5]	1966	A. F. Horadam
+	Generating functions for powers of a certain generalised sequence of numbers	1965	A. F. Horadam
+	On Khazanov's Formulae	1963	A. F. Horadam
+	On Khazanov's Formulae	1963	A. F. Horadam
+	Complex Fibonacci Numbers and Fibonacci Quaternions	1963	A. F. Horadam
+	Fibonacci Sequences and a Geometrical Paradox	1962	A. F. Horadam
+	Fibonacci Sequences and a Geometrical Paradox	1962	A. F. Horadam
+	Fibonacci Number Triples	1961	A. F. Horadam
+	Fibonacci Number Triples	1961	A. F. Horadam
+	Clifford matrices and the Hessian group	1961	A. F. Horadam
+	Corrections: A Generalized Fibonacci Sequence	1961	A. F. Horadam
+	A Generalized Fibonacci Sequence	1961	A. F. Horadam
+	A Generalized Fibonacci Sequence	1961	A. F. Horadam
+ PDF Chat	Involutions Associated with the Burkhardt Configuration in [4]	1959	A. F. Horadam
+	PROJECTION OF AN INVARIANT LOCUS IN [8] FROM A SOLID LYING ON IT	1958	A. F. Horadam
+	A LOCUS IN [8] INVARIANT UNDER A GROUP OF ORDER 51840×81	1957	A. F. Horadam

Common Coauthors

Coauthor	Papers Together
A. G. Shannon	19
Piero Filipponi	11
Ανδρέας Ν. Φιλίππου	11
Gerald E. Bergum	10
J. M. Mahon	3
S. Pethe	3
John Walton	2
Br. J. M. Mahon	2
R. P. Loh	2
Swita Baki	1
C. T. Gray	1
S. N. Collings	1
O. Brugia	1
R. S. Melham	1
Peter G. Anderson	1
Bro. J. M. Mahon	1
G.E. Bergum Seoane	1
W. D. Wallis	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	A Generalized Fibonacci Sequence	1961	A. F. Horadam	11
+	Applications of Fibonacci Numbers.	1989	C. T. Gray Ανδρέας Ν. Φιλίππου A. F. Horadam Gerald E. Bergum	10
+	Fibonacci and Lucas Numbers	2020	Verner E. Hoggatt	9
+	Pell and Pell-Lucas Polynomials	1985	A. F. Horadam J. M. Mahon	8
+	Derivative Sequences of Fibonacci and Lucas Polynomials	1991	Piero Filipponi A. F. Horadam	8
+	Fibonacci and Lucas Numbers	1997	Peter Hilton Derek Holton Jean Pedersen	7
+	Basic Properties of a Certain Generalized Sequence of Numbers	1965	A. F. Horadam	7
+	Generating functions for powers of a certain generalised sequence of numbers	1965	A. F. Horadam	5
+	A Generalized Fibonacci Sequence	1961	A. F. Horadam	5
+	Formulas and Theorems for the Special Functions of Mathematical Physics	1966	Wilhelm Magnus Fritz Oberhettinger Raj Pal Soni	5
+	Théorie des nombres	1891	Édouard Lucas	4
+	Special Properties of the Sequence W <sub>n</sub> (a,b;p,q)	1967	A. F. Horadam	4
+	Minmax Polynomials	1996	A. F. Horadam	4
+	History of the Theory of Numbers	1919	L. E. Dickson	4
+	Complex Fibonacci Numbers and Fibonacci Quaternions	1963	A. F. Horadam	4
+	Fibonacci Analogs of the Classical Polynomials	1975	A. G. Shannon	4
+	Fibonacci Number Triples	1961	A. F. Horadam	4
+	Generalization of a result of Morgado	1987	A. F. Horadam	4
+	Power Identities for Sequences Defined by W <sub>n+2</sub> = dW <sub>n+1</sub> - dW <sub>n</sub>	1965	David Zeitlin	3
+ PDF Chat	Generalised Gaussian Fibonacci numbers	1986	S. Pethe A. F. Horadam	3
+	Portugaliae Mathematica	2024	Boussad Hamour	3
+	An Introduction to Combinatorial Analysis	1958	R. A. Leibler John Riordan	3
+	New Aspects of Morgan-Voyce Polynomials	1998	A. F. Horadam	3
+	Divisibility properties of some fibonacci-type sequences	1979	A. F. Horadam R. P. Loh A. G. Shannon	2
+	A Probabilistic Primality Test Based on the Properties of Certain Generalized Lucas Numbers	1988	Adina Di Porto Piero Filipponi	2
+	Orthogonal Polynomials	1939	Gábor Szegő	2
+	Fibonacci-Tribonacci	1963	Mark Feinberg	2
+	Identities Involving Generalized Fibonacci Numbers	1969	Muthulakshmi R. Iyer	2
+	A Primer on the Pell Sequence and Related Sequences	1975	Marjorie Bicknell	2
+	Genocchi Polynomials	1991	A. F. Horadam	2
+	Fibonacci Number Triples	1961	A. F. Horadam	2
+	Coaxal Circles Associated with Recurrence-Generated Sequences	1984	A. F. Horadam	2
+	Advanced Combinatorics	1974	Louis Comtet	2
+	Convolutions for Pell Polynomials	1986	A. F. Horadam J. M. Mahon	2
+	The Chebyshev polynomials	1974	T. J. Rivlin	2
+	Some Properties of Fibonacci Numbers	1953	K. Subba Rao	2
+	Divisibility— with visibility	1988	Marta Sved	2
+	A Family of Fibonacci-Like Sequences	1987	P.R.J. Asveld	2
+	Partial Derivative Sequences of Second-Order Recurrence Polynomials	1996	Piero Filipponi A. F. Horadam	2
+	Applications of Fibonacci Numbers.	1991	H. C. W. G. E. Bergum Ανδρέας Ν. Φιλίππου A. F. Horadam	2
+	Introduction to Combinatorial Analysis.	1959	David Barton John Riordan	2
+	Generating Functions for Products of Powers of Fibonacci Numbers	1963	H. W. Gould	2
+	A LOCUS IN [8] INVARIANT UNDER A GROUP OF ORDER 51840×81	1957	A. F. Horadam	2
+	Fibonacci Analogs of the Classical Polynomials	1975	A. G. Shannon	2
+	Classroom note: Remarks on rational roots of a cubic	2003	William Galvin Rudolf Výborný	1
+	THE BOOK OF SQUARES	1987	Leonardo Pisano Fibonacci	1
+	On certain Fibonacci‐type sums	1991	O. Brugia Adina Di Porto Piero Filipponi	1
+ PDF Chat	The intersection of Fibonacci sequences.	1962	Sherman K. Stein	1
+	Clifford matrices and the Hessian group	1961	A. F. Horadam	1
+ PDF Chat	Mémoire sur les polynomes de bernoulli	1922	Niels Erik Nörlund	1