Now showing items 1-20 of 300

    • A conjecture about the non-trivial zeroes of the Riemann zeta function 

      Alcántara Bode, Julio (Pontificia Universidad Católica del PerúPE, 2007)
      Some heuristic arguments are given in support of the following conjecture: If the Riemann Hypothesis (RH) does not hold then the number of zeroes of the Riemann zeta function with real part σ >  ½ is infinite.
    • A criteria of completeness for compact operators in Hilbert space 

      Alcántara Bode, Julio (Pontificia Universidad Católica del PerúPE, 2004)
      A necessary and sufficient condition is given for completeness of the set of eigenfunctions and generalized eigenfunctions associated to the non zero eigenvalues of a compact operator on a Hilbert Space.
    • A differential equation for polynomials related to the Jacobian conjecture 

      Valqui Haase, Christian Holger; Guccione, Jorge A.; Guccione, Juan J. (Pontificia Universidad Católica del PerúPE, 2013)
      We analyze a possible minimal counterexample to theJacobian Conjecture P;Q with gcd(deg(P); deg(Q)) = 16 and show that its existence depends only on the existence of solutions for a certain Abel dierential equation of the ...
    • A discrete analogue of Maclaurin series 

      Khan, Mumtaz Ahmad (Pontificia Universidad Católica del PerúPE, 1998)
      In the present paper a (p,q )-analytic function analogue of Maclaurin's series has been obtained.
    • A lemma on limits of analytic sets 

      Rosas, Rudy (Pontificia Universidad Católica del PerúPE, 2005)
      This paper is a small remark on the analyticity of a limit of analytic sets in a particular case: when the sets are complex discs.
    • A note on a polynomial set generated by G(2xt-t2) for the choice G(u)= oF1(--; a; u) 

      Ahmad Khan, Mumtaz (Pontificia Universidad Católica del PerúPE, 2001)
      The present paper is a study of a class of polynomial set defined by means of a generating function of the form G(2xt- t²) for the choice G(u) = 0 F1(--;α;u). The paper contains some interesting results in the form of ...
    • A note on Smulians theorem 

      Vecchio, Renata del (Pontificia Universidad Católica del PerúPE, 1997)
      An extension of Smulian's theorem in which neither the linearity nor the local convexity are presupposed is obtained. As a consequence, a non-Archimedean version of Smulian's theorem is derived.
    • A separation axiom between semi-T° and semi-T1 

      Caldas, Miguel (Pontificia Universidad Católica del PerúPE, 1997)
      The author introduces a new separation axiom and studies some of their basic properties. The implication of these new separation axiom among themselves and with the well known axioms semi-T2 semi-T1 and semi-T0 are obtained.
    • A set of almost periodic discontinuous functions 

      Díaz, Lolimar; Naulin, Raúl (Pontificia Universidad Católica del PerúPE, 2006)
      In this paper the non density of AP, the set of almost periodic functions in the sense of Bohr, in the space S of almost periodic functions in the sense of Stepanov is proven.
    • A short proof of Jung’s theorem 

      Guccione, J.A.; Guccione, J.J.; Valqui, C. (Pontificia Universidad Católica del PerúPE, 2016)
      We give a short and elementary proof of Jung’s theorem, which states that for a field K of characteristic zero the automorphisms of K[x, y] are generated by elementary automorphisms and linear automorphisms.
    • A study of modified hermite polynomials 

      Khan, Mumtaz Ahmad; Khan, Abdul Hakim; Ahmad, Naeem (Pontificia Universidad Católica del PerúPE, 2011)
      The present paper is a study of modied Hermitepolynomials Hn(x; a) which reduces to Hermite polynomialsHn(x) for a = e.
    • A study of modified Hermite polynomials of two variables 

      Ahmad Khan, Mumtaz; Hakim Khan, Abdul; Ahmad, Naeem (Pontificia Universidad Católica del PerúPE, 2013)
      The present paper is a study of modied Hermite polynomials of two variables Hn(x; y; a) which for a = e reduces to Hermite polynomials of two variables Hn(x; y) due to M.A. Khan and G.S. Abukhammash.
    • A study of q-Lagranges polynomials of three variables 

      Khan, Mumtaz Ahmad; Rahman Khan, Abdul (Pontificia Universidad Católica del PerúPE, 2004)
      The present paper introduces a q-analogue of Lagranges polynomials of three variables due to Khan and Shukla and gives certain results involving these polynomials.
    • A study of three variable analogues of certain fractional integral operators 

      Khan, Mumtaz Ahmad; Sharma, Bhagwat Swaroop (Pontificia Universidad Católica del PerúPE, 2010)
      The paper deals with a three variable analogues of certain fractional integral operators introduced by M. Saigo. Resides giving three variable analogues of earlier known fractional integral operators of one variable as a ...
    • A study of two variables Legendre polynomials 

      Khan, Mumtaz Ahmad; Singh, Mukesh Pal (Pontificia Universidad Católica del PerúPE, 2010)
      The present paper deals with a study of a two variable polynomial Pn(x) analogues to the Legendre polynomial Pn(x). The paper contains differential recurrence relations, a partial differential equation, double generating ...
    • A study on a calculus for the Tk,x,y,z-operator 

      Khan, Mumtaz Ahmad; Rouhi, Bijan (Pontificia Universidad Católica del PerúPE, 2006)
      The present paper deals with the calculus of Tk,x,y,z - operator. The operator is a three variable analogue of the operator given earlier by W. A. Al-Salam [1] and H. B. Mittal [10]. The operator is useful for finding ...
    • A study on two variable analogues of certain fractional integral operators 

      Ahmad Khan, Mumtaz; Salama Abukhammash, Ghazi (Pontificia Universidad Católica del PerúPE, 2003)
      The Paper deals with a two variable analogues of certain fractional integral operators introduced by M. Saigo. Besides giving two variable analogues of earlier known fractional integral operators of one variable as special ...
    • Acerca de ecuaciones estocásticas en la teoría cuántica no relativista 

      Castromonte Salinas, Juvenal (Pontificia Universidad Católica del PerúPE, 2003)
      La teoría cuántica puede ser generada a partir de un conjunto de ecuaciones estocásticas. Estas ecuaciones se obtienen a partir del hecho de que las soluciones de las ecuaciones de Schrodinger y Bloch están relacionadas ...
    • Acerca de la conjetura del jacobiano 

      Torres Orihuela, Fernando Eduardo (Pontificia Universidad Católica del PerúPE, 1991)
      Este artículo tiene la finalidad de divulgar algunos resultados parciales y de problemas asociados a tal conjetura
    • Acerca de la dinámica simbólica y compleja 

      Anicama, Jorge (Pontificia Universidad Católica del PerúPE, 1996)