WYKAZ PRAC NAUKOWYCH


1. Opublikowane prace oryginalne


[P53]  Structure relations for the bivariate big q-Jacobi polynomials (wspólnie z P. Woźnym i R. Nowakiem), Applied Mathematics and Computation 219 (2013), 8790–8802.

[P52]  Polynomial approximation of rational Bézier curves with constraints (wspólnie z P. Woźnym i P. Kellerem), Numerical Algorithms 59 (2012), 607–622.

[P51]  Bézier representation of the constrained dual Bernstein polynomials (wspólnie z P. Woźnym), Applied Mathematics and Computation 218 (2011), 4580–4586.

[P50]  Multi-degree reduction of tensor product Bézier surfaces with general constraints (wspólnie z P. Woźnym), Applied Mathematics and Computation 217 (2011), 4596–4611.

[P49]  Constrained multi-degree reduction of triangular Bézier surfaces using dual Bernstein polynomials (wspólnie z P. Woźnym), Journal of Computational and Applied Mathematics 235 (2010), 785–804.

[P48]  Two-variable orthogonal polynomials of big q-Jacobi type (wspólnie z P. Woźnym), Journal of Computational and Applied Mathematics 233 (2010), 1551–1564.

[P47]  Multi-degree reduction of Bézier curves with constraints, using dual Bernstein basis polynomials (wspólnie z P. Woźnym), Computer Aided Geometric Design 26 (2009), 566–579.

[P46]  Multivariate generalized Bernstein polynomials. Identities for orthogonal polynomials of two variables (wspólnie z P. Woźnym, I. Areą i E. Godoyem), Numerical Algorithms 49 (2008), 199–220.

[P45]  Dual generalized Bernstein basis (wspólnie z P. Woźnym), Journal of Approximation Theory 138 (2006), 129–150.

[P44]  Connections between two-variable Bernstein and Jacobi polynomials on the triangle (wspólnie z P. Woźnym), Journal of Computational and Applied Mathematics 197 (2006), 520–533.

[P43]  Generalized Bernstein polynomials (wspólnie z P. Woźnym), BIT Numerical Mathematics 44 (2004), 63–78.

[P42]  Formulae relating little q-Jacobi, q-Hahn and q-Bernstein polynomials: Application to q-Bézier curve evaluation (wspólnie z I. Areą, E. Godoyem, P. Woźnym i A. Ronveaux), Integral Transforms and Special Functions 15 (2004), 375–385.

[P41]  Recurrence relations for the coefficients in series expansions with respect to semi-classical orthogonal polynomials (wspólnie z P. Woźnym), Numerical Algorithms 35 (2004), 61–79.

[P40]  Construction of recurrences for the coefficients of expansions in q-classical orthogonal polynomials, Journal of Computational and Applied Mathematics 153 (2003), 295–309.

[P39]  Representations for the first associated q-classical orthogonal polynomials, Journal of Computational and Applied Mathematics 150 (2003), 311–327.

[P38]  Recurrences for the coefficients of series expansions with respect to classical orthogonal polynomials, Applicationes Mathematicae 29 (2002), 97–116.

[P37]  Representations for the parameter derivatives of the classical orthogonal polynomials, Rendiconti del Circolo Matematico di Palermo, Ser. II, Suppl. 68 (2002), 599–613.

[P36]  Recursion formulae for basic hypergeometric functions, in Numerical Analysis in the 20th Century, Vol. I: Approximation Theory, eds. J. Wimp & L. Wuytack, Journal of Computational and Applied Mathematics 121 (2000), 297–312.

[P35]  Recurrence relations for the coefficients of the Fourier series expansions with respect to q-classical orthogonal polynomials (wspólnie z E. Godoyem, I. Areą, A. Ronveaux i A. Zarzo), Numerical Algorithms 23 (2000), 31–50.

[P34]  Recurrence relations for the connection coefficients of orthogonal polynomials of a discrete variable on the lattice x(s)=q2s, Journal of Computational and Applied Mathematics 99 (1998), 275–286.

[P33]  Generalized Watson's summation formula for 3F2(1), Journal of Computational and Applied Mathematics 86 (1997), 375–386.

[P32]  On the fourth-order difference equation for the associated Meixner polynomials, Journal of Computational and Applied Mathematics 80 (1997), 351–358.

[P31]  Linearization of product of orthogonal polynomials of a discrete variable (wspólnie z S. Belmehdim i A. Ronveaux), Applicationes Mathematicae 24 (1997), 445–455.

[P30]  Recurrence relations for the connection coefficients of orthogonal polynomials of a discrete variable, Journal of Computational and Applied Mathematics 76 (1996), 213–229.

[P29]  Second-order recurrence relation for the linearization coefficients of the classical orthogonal polynomials, Journal of Computational and Applied Mathematics 69 (1996), 159–170.

[P28]  An analytic method for convergence acceleration of certain hypergeometric series (wspólnie z S. Paszkowskim), Mathematics of Computation 64 (1995), 691–713.

[P27]  Results on the associated classical orthogonal polynomials, Journal of Computational and Applied Mathematics 65 (1995), 215–231.

[P26]  A fast algorithm for the construction of recurrence relations for modified moments, Applicationes Mathematicae 22 (1994), 359–372.

[P25]  A simple approach to the summation of certain slowly convergent series, Mathematics of Computation 63 (1994), 741–745.

[P24]  Results on the associated Jacobi and Gegenbauer polynomials, Journal of Computational and Applied Mathematics 49 (1993), 137–144.

[P23]  Error bounds for a near-minimax approximation, BIT 33 (1993), 151–157.

[P22]  Quick construction of recurrence relations for the Jacobi coefficients, Journal of Computational and Applied Mathematics 43 (1992), 355–372.

[P21]  A new approach to the problem of constructing recurrence relations for the Jacobi coefficients, Zastosowania Matematyki 21 (1991), 303–326.

[P20]  Evaluation of Bessel function integrals with algebraic singularities, Journal of Computational and Applied Mathematics 37 (1991), 101–112.

[P19]  On the numerical solution of the generalized Abel integral equation, Zastosowania Matematyki 20 (1990), 597–605.

[P18]  Properties of the polynomials associated with the Jacobi polynomials, Mathematics of Computation 47 (1986), 669–682.

[P17]  Recurrence relations for the coefficients in Jacobi series solutions of linear differential equations, SIAM Journal of Mathematical Analysis 17 (1986), 1037–1052.

[P16]  On the differential-difference properties of the extended Jacobi polynomials, Mathematics of Computation 44 (1985), 435–441.

[P15]  Recurrence relations for modified moments, Rev. Téc. Ing., Univ. Zulia 8 (1985), 49–60.

[P14]  Recurrence relations for hypergeometric functions of unit argument, Mathematics of Computation 45 (1985), 521–535. Errata ibid. 48 (1987), 853.

[P13]  Applications of modified moments in the numerical solution of the Abel integral equation, Zastosowania Matematyki 18 (1984), 311–317.

[P12]  Construction of the lowest order recurrence relation for the Jacobi coefficients, Zastosowania Matematyki 17 (1983), 655–675.

[P11]  Some polynomial projections with finite carrier, Journal of Approximation Theory 34 (1982), 249–263.

[P10]  Construction of a recurrence relation for modified moments, Journal of Computational and Applied Mathematics 5 (1979), 193–206.

[P9]  Properties of some polynomial projections, Journal of Approximation Theory 27 (1979), 313–328.

[P8]  Minimalne operatory rzutowe, Roczniki PTM. Seria III: Matematyka Stosowana 15 (1979), 25–46.

[P7]  A projection connected with the Fourier-Chebyshev operator, Bull. Acad. Polon. Sci., Ser. Sci. Math. Astr. Phys. 26 (1978), 727–732.

[P6]  Construction of a recurrence relation of the lowest order for coefficients of the Gegenbauer series, Zastosowania Matematyki 15 (1976), 345–396.

[P5]  Solving boundary value problems for the biharmonic equation by the method of summary representation. Algorithm 48, Zastosowania Matematyki 15 (1976), 397–413.

[P4]  Solution of a first-order nonlinear differential equation in Chebyshev series. Algorithm 47, Zastosowania Matematyki 15 (1976), 251–269.

[P3]  Solving systems of linear equations by Sokolov's method. Algorithm 29, Zastosowania Matematyki 14 (1974), 127–135.

[P2]  Application of numerical methods for multipole description of the electrical field of the heart (wspólnie z J. Jagielskim i J. Mozrzymasem), Control and Cybernetics 3 (1974), 37–49.

[P1]  A method for determining optical constants of thin films (wspólnie z E. Dobierzewską-Mozrzymas i J. Mozrzymasem), Acta Physica Polonica A41 (1972), 251–257.


2. Inne publikacje



[K3Metody numeryczne (objaśnienia 106 haseł w pracy zbiorowej Encyklopedia techniki. Podstawy techniki, Wydawnictwa Naukowo-Techniczne, Warszawa 1994).

[K2]  Moduł PF: Przybliżanie funkcji (wspólnie z G. Hardt-Olejniczak, W. Karczewskim i A. Olejniczakiem), [w:] Elementy informatyki, pakiet oprogramowania edukacyjnego, t. 2, System MET-NUM, red. M.M. Sysło, Uniw. Wrocł. i OFEK, Wrocław-Poznań 1992, s. 13–45.

[K1]  Moduł CN: Całkowanie numeryczne (wspólnie z G. Hardt-Olejniczak i A. Olejniczakiem), [w:] Elementy informatyki, pakiet oprogramowania edukacyjnego, t. 2, System MET-NUM, red. M.M. Sysło, Uniw. Wrocł. i OFEK, Wrocław-Poznań 1992, s. 47–76.


3. Nieopublikowane prace



[R5]  Algorithms for construction of recurrence relations for the coefficients of expansions in series of classical orthogonal polynomials (wspólnie z P. Woźnym), Inst. Inf. Uniw. Wrocł., Wrocław, 2001.

[R4]  The hypergeometric function approach to the connection problem for the classical orthogonal polynomials, Inst. Inf. Uniw. Wrocł., Wrocław, 1998, rev. 2002.

[R3]  Construction of recurrence relations for the Jacobi coefficients, using Maple (wspólnie z J. Witkowskim), Inst. Inf. Uniw. Wrocł., Wrocław, 1995.

[R2]  Recurrence relations for the Jacobi coefficients of certain hypergeometric functions, Rap. N-107, Inst. Inf. Uniw. Wrocł., Wrocław, 1982.

[R1]  Recurrence relations for coefficients of expansions in Bessel functions, Rap. N-57, Inst. Inf. Uniw. Wrocł., Wrocław, 1979.