Eczema vaccinatum in Darier's disease

Perturbation theory of odd anharmonic oscillators

“…It will be proved in the next section that the analytic continuation of the functions E~(fl) across the real axis is not single valued. However we will not attempt here to discuss the global analytic structure of E~(fl) on an algebraic Riemann surface, in analogy with the results discovered by Bender and Wu [4] for the even anharmonic oscillators, later rigorously justified by Simon [17], Loeffel et al [12], Loeffel and Martin [13].…”

Large orders and summability of eigenvalue perturbation theory: A mathematical overview

“…Subsequent to the work of Bender and Wu and Simon, Loeffel, and Martin [37] were able to prove feature (i) by explditing some very clever ODE arguments which do not extend to multidimensional oscillators. Loeffel et al (3 I ] then combined these results to announce Pad6-Stieltjes summability of x4 and x6 oscillators and Graffi et al proved Borel summability of E(P) including the result that the Borel transform B ( x ) is analytic in a plane cut only in (-a, -B) for some B [38].…”

“…Subsequent to the work of Bender and Wu and Simon, Loeffel, and Martin [37] were able to prove feature (i) by explditing some very clever ODE arguments which do not extend to multidimensional oscillators. Loeffel [38].…”

Darier’s disease complicated by Kaposi’s varicelliform eruption due to herpes simplex virus

“…KVE is defined as an uncommon viral infection caused by herpes simplex, vaccinia or coxsackie virus 3–5 that occurs in various skin diseases, such as atopic dermatitis, Wiskott–Aldrich syndrome, pemphigus foliaceus, ichthyosis vulgaris, bullous pemphigoid, seborrhoeic dermatitis and Darier’s disease. 2,3–6 Mycosis fungoides, burns, traumatic facial abrasions and autologous skin grafting may very rarely be complicated by KVE.…”

“…However, no specific abnormality in immune function has been demonstrated to date. 3–7 The role of a defective skin barrier acting in conjunction with these immune defects is supported by the fact that viral lesions tend to develop first on previously abnormal skin. 10 …”